Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces (Q624481)
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scientific article; zbMATH DE number 5848808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces |
scientific article; zbMATH DE number 5848808 |
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Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces (English)
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9 February 2011
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Summary: By means of adequate variational techniques and the theory of the variable exponent Sobolev spaces, we show the existence of nontrivial solution for a transmission problem given by a system of two nonlinear elliptic equations of \(p(x)\)-Kirchhoff type with nonstandard growth condition.
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nonlinear elliptic equations of \(p(x)\)-Kirchhoff type
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variable exponent Sobolev spaces
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