Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu, Strongly nonlinear second order multivalued Dirichlet systems

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DOI: 10.23952/jnva.2.2018.1.02
Volume 2, Issue 1, 1 April 2018, Pages 3-23

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

How to Cite this Article:
Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu, Strongly nonlinear second order multivalued Dirichlet systems, J. Nonlinear Var. Anal. 2 (2018), 3-23.