1.

Record Nr.

UNINA9910478878403321

Titolo

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

©2013

ISBN

1-4704-0992-5

Descrizione fisica

1 online resource (322 p.)

Collana

Contemporary Mathematics, , 1098-3627 ; ; Volume 594

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 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   â€?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       â€?homeomorphisms in the plane""; ""1. Introduction""; ""2. Preliminary results""; ""3. The biâ€?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""