Variational and Non-Variational Methods in Nonlinear Analysis and Boundary Value Problems Book

	Preface
	Introduction
1	Elements of Nonsmooth Analysis	1
1	Generalized Gradients of Locally Lipschitz Functionals	1
2	Palais-Smale Condition and Coerciveness for a Class of Nonsmooth Functionals	12
3	Nonsmooth Analysis in the Sense of Degiovanni	19
2	Critical Points for Nonsmooth Functionals	31
1	Critical Point Theory for Locally Lipschitz Functionals	31
2	Critical Point Theory for Convex Perturbations of Locally Lipschitz Functionals	46
3	A Critical Point Theory in Metric Spaces	55
3	Variational Methods	67
1	Critical Point Theory for Convex Perturbations of Locally Lipschitz Functionals in the Limit Case	67
2	Examples	83
4	Multivalued Elliptic Problems in Variational Form	99
1	Multiplicity for Locally Lipschitz Periodic Functionals	99
2	The Multivalued Forced-pendulum Problem	106
3	Hemivariational Inequalities Associated to Multivalued Problems with Strong Resonance	111
4	A Parallel Nonsmooth Critical Point Theory. Approach to Stationary Schrodinger Type Equations in IR[superscript n]	122
5	Boundary Value Problems in Non-Variational Form	139
1	The General Setting and Assumptions	139
2	Extremal Solutions of Quasilinear Parabolic Inclusion (5.1)	144
3	Proof of the Existence Result in Proposition 5.1 and an Example	161
6	Variational, Hemivariational and Variational-Hemivariational Inequalities	169
1	Hartman-Stampacchia Type Results for Hemivariational Inequalities	170
2	Variational-Hemivariational Inequality Problems with Lack of Convexity	178
3	Double Eigenvalue Hemivariational Inequalities with Non-locally Lipschitz Energy Functional	191
4	Applications	202
7	Eigenvalue Problems with Symmetries	211
1	Orbits of Critical Points	211
2	Multiple Eigensolutions for Symmetric Functionals	219
3	Periodic Solutions of Hemivariational Inequalities. Multiple Eigensolutions	225
4	Multiple Solutions for a Double Eigenvalue Hemivariational Inequality with Constraints	233
8	Non-Symmetric Perturbations of Symmetric Eigenvalue Problems	245
1	Non-symmetric Perturbations of Eigenvalue Problems for Periodic Hemivariational Inequalities with Constraints	246
2	Perturbations of Double Eigenvalue Problems for General Hemivariational Inequalities with Constraints	258
9	Location of Solutions for General Nonsmooth Problems	273
1	Existence of Solutions by Minimax Methods for Variational-Hemivariational Inequalities	273
2	Location of Eigensolutions to Variational-Hemivariational Inequalities	288
3	Location of Solutions to Nonlinear Dirichlet Problems	299
10	Nonsmooth Evolution Problems	307
1	First Order Evolution Variational Inequalities	307
2	Second Order Evolution Variational Equations	319
3	Stability Properties for Evolution Variational Inequalities	325
11	Inequality Problems in BV and Geometric Applications	349
1	The General Framework	350
2	Area Type Functionals	360
3	A Result of Clark Type	367
4	An Inequality Problem with Superlinear Potential	370