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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems by Leszek Gasinski
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MATHEMATICAL BACKGROUND
Sobolev Spaces
Set-Valued Analysis
Nonsmooth Analysis
Nonlinear Operators
Elliptic Differential Equations
Remarks
CRITICAL POINT THEORY
Locally Lipschitz Functionals
Constrained Locally Lipschitz Functionals
Perturbations of Locally Lipschitz Functionals
Local Linking and Extensions
Continuous Functionals
Multivalued Functionals
Remarks
ORDINARY DIFFERENTIAL EQUATIONS
Dirichlet Problems
Periodic Problems
Nonlinear Boundary Conditions
Variational Methods
Method of Upper and Lower Solutions
Positive Solutions and Other Methods
Hamiltonian Inclusions
Remarks
ELLIPTIC EQUATIONS
Problems at Resonance
Neumann Problems
Problems with an Area-Type Term
Strongly Nonlinear Problems
Method of Upper and Lower Solutions
Multiplicity Results
Positive Solutions
Problems with Discontinuous Nonlinearities
Remarks
APPENDIX
Set Theory and Topology
Measure Theory
Functional Analysis
Nonlinear Analysis
List of Symbols
References
CRC Press; July 2004
790 pages; ISBN 9781420035032
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Title: Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
Author: Leszek Gasinski; Nikolaos S. Papageorgiou
 
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