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 nonl...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2018
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/21972 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/21972 |
| Summary: | 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. |
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