Strongly nonlinear second order multivalued Dirichlet systems

We consider second order nonlinear Dirichlet systems driven by a nonlinear nonhomogeneous differential operator. The reaction term consists of a maximal monotone map A(⋅) plus a multivalued perturbation F depending also on derivative. Using tools from multivalued analysis and from the theory of nonlinear operators of monotone type, we prove existence theorems both for the "convex" (F is convex-valued) and the "nonconvex" (F is nonconvex-valued) problems. We also present an example of a system with unilateral constraint

On Cournot-Nash equilibria in generalized qualitative games with a continuum of players

Includes bibliographical references

Nonlinear analysis

Hausdorff Measures and Capacity. Lebesgue-Bochner and Sobolev Spaces. Nonlinear Operators and Young Measures. Smooth and Nonsmooth Analysis and Variational Principles. Critical Point Theory. Eigenvalue Problems and Maximum Principles. Fixed Point Theory

Nonsmooth critical point theory and nonlinear boundary value problems. t.VIII

xiii, 775 p. ; 21x30 cm