Positive solutions for nonlinear Neumann problems with concave and convex terms. (English) Zbl 1263.35114
A nonlinear elliptic Neumann problem for the \(p\)-Laplacian in a domain with a \(C^2\) boundary is considered. A critical case is investigated. A theorem about existence of a positive solutions is obtained. The results received are based at variational methods with employing the mountain pass theorem.
Reviewer: Ramzet M. Dzhafarov (Donetsk)
MSC:
| 35J65 | Nonlinear boundary value problems for linear elliptic equations |
| 35B09 | Positive solutions to PDEs |
Keywords:
C-condition; nonlinear maximum principle; local minimizers; \(p\)-Laplacian; bifurcation type theoremReferences:
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