Nodal solutions for nonlinear nonhomogeneous Neumann equations
We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator with a Caratheodory reaction which is $(p-1)$-sublinear near $\pm\infty$. Using variational tools we show that the problem has at least three nontrivial smooth solutions (one positive, one negative and a third n...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2017
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/18704 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/18704 |
| Summary: | We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator with a Caratheodory reaction which is $(p-1)$-sublinear near $\pm\infty$. Using variational tools we show that the problem has at least three nontrivial smooth solutions (one positive, one negative and a third nodal). Our formulation unifies problems driven by the $p$-Laplacian, the $(p,q) $ Laplacian and the $p$-generalized mean curvature operator. |
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