Multiplicity of concentrating solutions for \((p, q)\)-Schrödinger equations with lack of compactness (Q6635460)
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scientific article; zbMATH DE number 7941224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of concentrating solutions for \((p, q)\)-Schrödinger equations with lack of compactness |
scientific article; zbMATH DE number 7941224 |
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Multiplicity of concentrating solutions for \((p, q)\)-Schrödinger equations with lack of compactness (English)
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12 November 2024
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The authors study a class of \((p,q)\)-Laplacian problems with a positive continuous potential and a critical term in the reaction. First a positive ground state solution for the problem is obtained by combining minimax theorems, penalization technique and Ljusternik-Schnirelmann category theory. Next a multiplicity result for a supercritical version of the problem is shown by combining a truncation argument with a Moser-type iteration.
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\((p,q)\)-Laplacian
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lack of compactness
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existence of ground states
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