Overview
- Authors:
-
-
Dumitru Motreanu
-
Department of Mathematics, University of Perpignan, Perpignan, France
-
Viorica Venera Motreanu
-
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel
-
Nikolaos Papageorgiou
-
Department of Mathematics, National Technical University Zografou Campus, Athens, Greece
Parallel treatment of smooth and nonsmooth problems
Contains proofs for many of the results stated herein
Presents recent research in the field for the first time in book form
Access this book
Other ways to access
Table of contents (12 chapters)
-
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 1-13
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 15-44
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 45-59
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 61-96
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 97-139
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 141-179
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 181-200
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 201-222
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 223-270
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 271-302
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 303-385
-
- Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou
Pages 387-436
-
Back Matter
Pages 437-459
About this book
This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.
Reviews
From the book reviews:
“This volume is devoted to the qualitative analysis of some basic classes of nonlinear boundary value problems by means of modern variational and topological methods. … This material appears here for the first time in book form. The presentation is very clear and an extensive bibliography (397 titles) and a rich index highlight the text. This work will serve as a reference for researchers working in pure and applied nonlinear analysis.” (Vicenţiu D. Rădulescu, zbMATH, 2014)
Authors and Affiliations
-
Department of Mathematics, University of Perpignan, Perpignan, France
Dumitru Motreanu
-
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel
Viorica Venera Motreanu
-
Department of Mathematics, National Technical University Zografou Campus, Athens, Greece
Nikolaos Papageorgiou
