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Title: Strongly nonlinear second order multivalued Dirichlet systems
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos Socrates
Staicu, V
Keywords: Maximal monotone operator
Vector Sobolev space
Issue Date: Jan-2018
Publisher: Biemdas Academic Publishers Inc.
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(⋅) 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.
Peer review: yes
DOI: 10.23952/jnva.2.2018.1.02
ISSN: 2560-6778
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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