Existence of infinitely many weak solutions for a Neumann elliptic equations involving the \(\vec {p}(x)\)-Laplacian operator (Q903067)
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scientific article; zbMATH DE number 6526188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of infinitely many weak solutions for a Neumann elliptic equations involving the \(\vec {p}(x)\)-Laplacian operator |
scientific article; zbMATH DE number 6526188 |
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Existence of infinitely many weak solutions for a Neumann elliptic equations involving the \(\vec {p}(x)\)-Laplacian operator (English)
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4 January 2016
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The authors study a Neumann \(p(x)\)-elliptic problem. Using the abstract result of Fun on the existence of infinitely many local minima of a functional, a result on the existence of infinitely many solutions of the problem is obtained.
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\(p(x)\)-Laplacian operator
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Neumann elliptic equations
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variational principle
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anisotropic variable exponent
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Sobolev spaces
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