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http://hdl.handle.net/10773/21972
Title: | Strongly nonlinear second order multivalued Dirichlet systems |
Author: | Aizicovici, Sergiu Papageorgiou, Nikolaos Socrates Staicu, V |
Keywords: | Maximal monotone operator P-Laplace-like 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 |
URI: | http://hdl.handle.net/10773/21972 |
DOI: | 10.23952/jnva.2.2018.1.02 |
ISSN: | 2560-6778 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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APSPaper_JNVA_2(2018)_3.23.pdf | Documento principal | 222.38 kB | Adobe PDF | View/Open |
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