1.

Record Nr.

UNINA9910480217603321

Titolo

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

©2013

ISBN

1-4704-0993-3

Descrizione fisica

1 online resource (354 p.)

Collana

Contemporary Mathematics, , 1098-3627 ; ; Volume 595

Disciplina

515/.353

Soggetti

Differential equations, Nonlinear

Differential equations, Parabolic

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

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""