An elliptic problem with an indefinite nonlinearity and a parameter in the boundary condition (Q405612)
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scientific article; zbMATH DE number 6340665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elliptic problem with an indefinite nonlinearity and a parameter in the boundary condition |
scientific article; zbMATH DE number 6340665 |
Statements
An elliptic problem with an indefinite nonlinearity and a parameter in the boundary condition (English)
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5 September 2014
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The authors investigate the solvability of a semilinear elliptic boundary value problem under a nonhomogeneous Neumann boundary condition and depending on a positive parameter in the boundary condition. The approach is variational developing a careful analysis of the Palais-Smale sequences. The critical case is treated too. The existence of two nontrivial solutions is obtained provided the parameter is sufficiently small.
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elliptic boundary value problems
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convex-concave nonlinearities
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local minimization
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mountain-pass solutions
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