Variational and Monotonicity Methods in Nonsmooth Analysis

Part I Mathematical Background.- Convex and Lower Semicontinuous Functionals.- Locally Lipschitz Functionals.- Critical Points, Compactness Conditions and Symmetric Criticality.- Part II Variational Techniques in Nonsmooth Analysis and Applications.- Deformation Results.- Minimax and Multiplicity Results.- Existence and Multiplicity Results for Differential Inclusions via Critical Point Theory.- Variational and Hemivariational Inequalities in Unbounded Domains.- Part III Topological Methods for Variational and Hemivariational Inequalities.- Fixed Point Approach.- Nonsmooth Nash Equilibria on Smooth Manifolds.- Inequality Problems Governed by Set-valued Maps of Monotone Type.- Part IV Applications to Nonsmooth Mechanics.- Antiplane Shear Deformation of Elastic Cylinders.- Weak Solvability of Frictional Problems for Piezoelectric Bodies.- The Bipotential Method for Contact Models with Nonmonotone Boundary Conditions.