Nonlinear Steklov eigenvalue problem with variable exponents and without Ambrosetti-Rabinowitz condition (Q2289537)
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| Language | Label | Description | Also known as |
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| English | Nonlinear Steklov eigenvalue problem with variable exponents and without Ambrosetti-Rabinowitz condition |
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Nonlinear Steklov eigenvalue problem with variable exponents and without Ambrosetti-Rabinowitz condition (English)
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23 January 2020
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Summary: In this paper, we study a nonlinear Steklov eigenvalue problem involving the \(p(x)\)-Laplacian on a bounded domain. We introduce a new variational technique that allows us to investigate this problem without need of the Ambrosetti-Rabinowitz condition on the nonlinearity.
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critical point
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\(p(x)\)-Laplacian
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Steklov problem
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variable exponent Lebesgue-Sobolev spaces
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