Nonlinear multivalued boundary value problems

Ralf Bader ; Nikolaos S. Papageorgiou

Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 21 (2001), p. 127-148 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper, we study nonlinear second order differential inclusions with a multivalued maximal monotone term and nonlinear boundary conditions. We prove existence theorems for both the convex and nonconvex problems, when $domA ≠ ℝ^{N}$ and $domA = ℝ^{N}$, with A being the maximal monotone term. Our formulation incorporates as special cases the Dirichlet, Neumann and periodic problems. Our tools come from multivalued analysis and the theory of nonlinear monotone operators.

Détail

Publié le : 2001-01-01

Zbl 0999.34010

EUDML-ID : urn:eudml:doc:271491

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