The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem (Q2050383)
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scientific article; zbMATH DE number 7388489
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem |
scientific article; zbMATH DE number 7388489 |
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The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem (English)
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31 August 2021
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Summary: In the paper, we study the existence of weak solutions for a class of new nonlocal problems involving a \(p(x)\)-Laplacian operator. By using Ekeland's variational principle and mountain pass theorem, we prove that the new \(p(x)\)-Kirchhoff problem has at least two nontrivial weak solutions.
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\(p(x)\)-Laplacian
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Kirchhoff-type equation
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existence
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variational methods
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