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Recent trends in nonlinear partial differential equations I : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, editors
| Recent trends in nonlinear partial differential equations I : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (322 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Parabolic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0992-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Thanks""; ""Preface""; ""A tribute to Patrizia Pucci""; ""1. Introduction""; ""2. The early years and Lamberto Cesari�s influence (1976-1986)""; ""3. The exemplary collaboration with James Serrin (1984-2011)""; ""4. A leading mathematical force in Perugia""; ""5. A (temporary) conclusion""; ""A scientific profile of Patrizia Pucci""; ""References""; ""Monographs, published books and handouts""; ""The Liouville theorem for homogeneous elliptic differential inequalities""; ""conm11880.start.0""
""Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term""""1. Introduction""; ""2. Some results for an elliptic-parabolic problem with measure data""; ""3. Some results for an elliptic-parabolic problem with singular measure data""; ""4. The Porous medium problem with quadratic gradient term: A multiplicity result""; ""Acknowledgement""; ""References""; ""A priori estimates for solutions of �Kirchhoff systems under dynamic boundary conditions""; ""1. Introduction""; ""2. Preliminaries""; ""3. Lifespan estimates for (1.1)""; ""Acknowledgments"" ""References""""Higher order linear parabolic equations""; ""1. Introduction""; ""2. Heat kernel estimates""; ""3. The Fokker-Planck equation""; ""4. Asymptotic behavior of the solution""; ""5. Positivity preserving property""; ""References""; ""Sources of Nonlinearity in the Kinetic Theory for Active Particles with Focus on the Formation of Political Opinions""; ""1. On the hallmarks of the kinetic theory for active particles and plan of the paper""; ""2. Mathematical structures""; ""3. Sources of Nonlinearities""; ""4. Opinion Formation in a Political Competition""; ""5. Critical analysis"" ""References""""Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions""; ""1. Introduction""; ""2. Proof of Theorem 1""; ""3. Another proof of Theorem 1 and a general result""; ""References""; ""Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient""; ""1. Introduction""; ""2. A Model Problem""; ""3. The General Case""; ""Acknowledgments""; ""References""; ""Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of socio-political conflicts"" ""1. Introduction""""2. The mathematical model and the initial value problem""; ""3. Solution to the initial value problem""; ""Acknowledgement""; ""References""; ""Regularity points of �homeomorphisms in the plane""; ""1. Introduction""; ""2. Preliminary results""; ""3. The bi�ACL mappings""; ""4. Proof of Theorem 1.2""; ""5. Proof of Theorem 1.1""; ""References""; ""Energy Estimates and Integral Harnack inequality for some doubly nonlinear singular parabolic equations""; ""1. Introduction""; ""2. Weak solutions and energy estimates""; ""3. A DeGiorgi-type lemma"" ""4. A variant of DeGiorgi-type lemma"" |
| Record Nr. | UNINA-9910478878403321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in nonlinear partial differential equations I : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, editors
| Recent trends in nonlinear partial differential equations I : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (322 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Parabolic |
| ISBN | 1-4704-0992-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thanks -- Preface -- A tribute to Patrizia Pucci -- 1. Introduction -- 2. The early years and Lamberto Cesari's influence (1976-1986) -- 3. The exemplary collaboration with James Serrin (1984-2011) -- 4. A leading mathematical force in Perugia -- 5. A (temporary) conclusion -- A scientific profile of Patrizia Pucci -- References -- Monographs, published books and handouts -- The Liouville theorem for homogeneous elliptic differential inequalities -- conm11880.start.0 -- Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term -- 1. Introduction -- 2. Some results for an elliptic-parabolic problem with measure data -- 3. Some results for an elliptic-parabolic problem with singular measure data -- 4. The Porous medium problem with quadratic gradient term: A multiplicity result -- Acknowledgement -- References -- A priori estimates for solutions of "Kirchhoff systems under dynamic boundary conditions -- 1. Introduction -- 2. Preliminaries -- 3. Lifespan estimates for (1.1) -- Acknowledgments -- References -- Higher order linear parabolic equations -- 1. Introduction -- 2. Heat kernel estimates -- 3. The Fokker-Planck equation -- 4. Asymptotic behavior of the solution -- 5. Positivity preserving property -- References -- Sources of Nonlinearity in the Kinetic Theory for Active Particles with Focus on the Formation of Political Opinions -- 1. On the hallmarks of the kinetic theory for active particles and plan of the paper -- 2. Mathematical structures -- 3. Sources of Nonlinearities -- 4. Opinion Formation in a Political Competition -- 5. Critical analysis -- References -- Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions -- 1. Introduction -- 2. Proof of Theorem 1 -- 3. Another proof of Theorem 1 and a general result -- References -- Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient -- 1. Introduction -- 2. A Model Problem -- 3. The General Case -- Acknowledgments -- References -- Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of socio-political conflicts -- 1. Introduction -- 2. The mathematical model and the initial value problem -- 3. Solution to the initial value problem -- Acknowledgement -- References -- Regularity points of "homeomorphisms in the plane -- 1. Introduction -- 2. Preliminary results -- 3. The bi-ACL mappings -- 4. Proof of Theorem 1.2 -- 5. Proof of Theorem 1.1 -- References -- Energy Estimates and Integral Harnack inequality for some doubly nonlinear singular parabolic equations -- Initial value problems for diffusion equations with singular potential -- On a class of fully nonlinear PDEs from complex geometry -- Concentration of conformal volume, improved Moser-Trudinger inequalities and Toda systems -- Periodic solutions of Lagrangian difference systems: Periodic nonlinearities (almost) don’t matter -- A limit problem for degenerate quasilinear variational inequalities in cylinders -- Strong solutions for the wave equation with a kinetic boundary condition. |
| Record Nr. | UNINA-9910788900303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in nonlinear partial differential equations I : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, editors
| Recent trends in nonlinear partial differential equations I : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (322 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Parabolic |
| ISBN | 1-4704-0992-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thanks -- Preface -- A tribute to Patrizia Pucci -- 1. Introduction -- 2. The early years and Lamberto Cesari's influence (1976-1986) -- 3. The exemplary collaboration with James Serrin (1984-2011) -- 4. A leading mathematical force in Perugia -- 5. A (temporary) conclusion -- A scientific profile of Patrizia Pucci -- References -- Monographs, published books and handouts -- The Liouville theorem for homogeneous elliptic differential inequalities -- conm11880.start.0 -- Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term -- 1. Introduction -- 2. Some results for an elliptic-parabolic problem with measure data -- 3. Some results for an elliptic-parabolic problem with singular measure data -- 4. The Porous medium problem with quadratic gradient term: A multiplicity result -- Acknowledgement -- References -- A priori estimates for solutions of "Kirchhoff systems under dynamic boundary conditions -- 1. Introduction -- 2. Preliminaries -- 3. Lifespan estimates for (1.1) -- Acknowledgments -- References -- Higher order linear parabolic equations -- 1. Introduction -- 2. Heat kernel estimates -- 3. The Fokker-Planck equation -- 4. Asymptotic behavior of the solution -- 5. Positivity preserving property -- References -- Sources of Nonlinearity in the Kinetic Theory for Active Particles with Focus on the Formation of Political Opinions -- 1. On the hallmarks of the kinetic theory for active particles and plan of the paper -- 2. Mathematical structures -- 3. Sources of Nonlinearities -- 4. Opinion Formation in a Political Competition -- 5. Critical analysis -- References -- Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions -- 1. Introduction -- 2. Proof of Theorem 1 -- 3. Another proof of Theorem 1 and a general result -- References -- Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient -- 1. Introduction -- 2. A Model Problem -- 3. The General Case -- Acknowledgments -- References -- Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of socio-political conflicts -- 1. Introduction -- 2. The mathematical model and the initial value problem -- 3. Solution to the initial value problem -- Acknowledgement -- References -- Regularity points of "homeomorphisms in the plane -- 1. Introduction -- 2. Preliminary results -- 3. The bi-ACL mappings -- 4. Proof of Theorem 1.2 -- 5. Proof of Theorem 1.1 -- References -- Energy Estimates and Integral Harnack inequality for some doubly nonlinear singular parabolic equations -- Initial value problems for diffusion equations with singular potential -- On a class of fully nonlinear PDEs from complex geometry -- Concentration of conformal volume, improved Moser-Trudinger inequalities and Toda systems -- Periodic solutions of Lagrangian difference systems: Periodic nonlinearities (almost) don’t matter -- A limit problem for degenerate quasilinear variational inequalities in cylinders -- Strong solutions for the wave equation with a kinetic boundary condition. |
| Record Nr. | UNINA-9910828803303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in nonlinear partial differential equations II : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, [editors]
| Recent trends in nonlinear partial differential equations II : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, [editors] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Parabolic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0993-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Thanks""; ""Preface""; ""On degree theory for quasilinear elliptic equations with natural growth conditions""; ""1. Introduction""; ""2. Topological degree in reflexive Banach spaces""; ""3. Quasilinear elliptic equations with controllable growth conditions""; ""4. Quasilinear elliptic equations with natural growth conditions""; ""5. Topological degree for quasilinear elliptic equations with natural growth conditions""; ""References""; ""Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms""; ""1. Introduction""; ""2. The general problem""
""3. Radial solutions for the Gelfand quasilinear problem""""References""; ""Remarks on some quasilinear equations with gradient terms and measure data""; ""1. Introduction""; ""2. Notions of solutions""; ""3. Existence in the subcritical case""; ""4. Necessary conditions for existence and removability results""; ""5. Existence in the supercritical case""; ""6. Some regularity results""; ""Acknowledgement""; ""References""; ""The effect of a linear term in some nonlinear elliptic equations with singular data""; ""1. Introduction""; ""2. Existence""; ""3. Maximum principle"" ""Acknowledgements.""""References""; ""Quantitative bounds for subcritical semilinear elliptic equations""; ""1. Introduction""; ""2. Maximum and comparison principles on small sets""; ""3. Global estimates I""; ""4. Reminder on quantitative local bounds""; ""5. Global estimates II. Boundary estimates and global Harnack inequalities""; ""6. Comparing solutions for different values of and the limit as â??1""; ""7. Appendix""; ""Acknowledgment""; ""References""; ""Sub and supersolutions, invariant cones and multiplicity results for -Laplace equations""; ""1. Introduction"" ""2. Statement of the main results""""3. Preliminaries""; ""4. Minimal energy solution between ordered sub-supersolutions""; ""5. Mountain pass solution in presence of multiple sub-supersolutions""; ""6. Existence of -invariant open sets""; ""7. A four solutions theorem""; ""8. Additional -invariance results""; ""Acknowledgment""; ""References""; ""A Moser type inequality in Zygmund spaces without boundary conditions""; ""1. Introduction""; ""2. Function space setting""; ""3. Proof of Theorem 1.2""; ""References"" ""2. Assumptions and statement of the main results"" |
| Record Nr. | UNINA-9910480217603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in nonlinear partial differential equations II : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, [editors]
| Recent trends in nonlinear partial differential equations II : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, [editors] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Parabolic |
| ISBN | 1-4704-0993-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thanks -- Preface -- On degree theory for quasilinear elliptic equations with natural growth conditions -- 1. Introduction -- 2. Topological degree in reflexive Banach spaces -- 3. Quasilinear elliptic equations with controllable growth conditions -- 4. Quasilinear elliptic equations with natural growth conditions -- 5. Topological degree for quasilinear elliptic equations with natural growth conditions -- References -- Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms -- 1. Introduction -- 2. The general problem -- 3. Radial solutions for the Gelfand quasilinear problem -- References -- Remarks on some quasilinear equations with gradient terms and measure data -- 1. Introduction -- 2. Notions of solutions -- 3. Existence in the subcritical case -- 4. Necessary conditions for existence and removability results -- 5. Existence in the supercritical case -- 6. Some regularity results -- Acknowledgement -- References -- The effect of a linear term in some nonlinear elliptic equations with singular data -- 1. Introduction -- 2. Existence -- 3. Maximum principle -- Acknowledgements. -- References -- Quantitative bounds for subcritical semilinear elliptic equations -- 1. Introduction -- 2. Maximum and comparison principles on small sets -- 3. Global estimates I -- 4. Reminder on quantitative local bounds -- 5. Global estimates II. Boundary estimates and global Harnack inequalities -- 6. Comparing solutions for different values of and the limit as â??1 -- 7. Appendix -- Acknowledgment -- References -- Sub and supersolutions, invariant cones and multiplicity results for -Laplace equations -- 1. Introduction -- 2. Statement of the main results -- 3. Preliminaries -- 4. Minimal energy solution between ordered sub-supersolutions -- 5. Mountain pass solution in presence of multiple sub-supersolutions -- 6. Existence of -invariant open sets -- 7. A four solutions theorem -- 8. Additional -invariance results -- Acknowledgment -- References -- A Moser type inequality in Zygmund spaces without boundary conditions -- 1. Introduction -- 2. Function space setting -- 3. Proof of Theorem 1.2 -- References -- 2. Assumptions and statement of the main results. |
| Record Nr. | UNINA-9910788900403321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in nonlinear partial differential equations II : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, [editors]
| Recent trends in nonlinear partial differential equations II : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy / / James B. Serrin, Enzo L. Mitidieri, Vicenţiu D. Rădulescu, [editors] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (354 p.) |
| Disciplina | 515/.353 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential equations, Nonlinear
Differential equations, Parabolic |
| ISBN | 1-4704-0993-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Thanks -- Preface -- On degree theory for quasilinear elliptic equations with natural growth conditions -- 1. Introduction -- 2. Topological degree in reflexive Banach spaces -- 3. Quasilinear elliptic equations with controllable growth conditions -- 4. Quasilinear elliptic equations with natural growth conditions -- 5. Topological degree for quasilinear elliptic equations with natural growth conditions -- References -- Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms -- 1. Introduction -- 2. The general problem -- 3. Radial solutions for the Gelfand quasilinear problem -- References -- Remarks on some quasilinear equations with gradient terms and measure data -- 1. Introduction -- 2. Notions of solutions -- 3. Existence in the subcritical case -- 4. Necessary conditions for existence and removability results -- 5. Existence in the supercritical case -- 6. Some regularity results -- Acknowledgement -- References -- The effect of a linear term in some nonlinear elliptic equations with singular data -- 1. Introduction -- 2. Existence -- 3. Maximum principle -- Acknowledgements. -- References -- Quantitative bounds for subcritical semilinear elliptic equations -- 1. Introduction -- 2. Maximum and comparison principles on small sets -- 3. Global estimates I -- 4. Reminder on quantitative local bounds -- 5. Global estimates II. Boundary estimates and global Harnack inequalities -- 6. Comparing solutions for different values of and the limit as â??1 -- 7. Appendix -- Acknowledgment -- References -- Sub and supersolutions, invariant cones and multiplicity results for -Laplace equations -- 1. Introduction -- 2. Statement of the main results -- 3. Preliminaries -- 4. Minimal energy solution between ordered sub-supersolutions -- 5. Mountain pass solution in presence of multiple sub-supersolutions -- 6. Existence of -invariant open sets -- 7. A four solutions theorem -- 8. Additional -invariance results -- Acknowledgment -- References -- A Moser type inequality in Zygmund spaces without boundary conditions -- 1. Introduction -- 2. Function space setting -- 3. Proof of Theorem 1.2 -- References -- 2. Assumptions and statement of the main results. |
| Record Nr. | UNINA-9910817231903321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||