Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations (Q765930)
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scientific article; zbMATH DE number 6017649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations |
scientific article; zbMATH DE number 6017649 |
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Multiple solutions for asymptotically \((p-1)\)-homogeneous \(p\)-Laplacian equations (English)
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22 March 2012
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The authors consider a nonlinear elliptic equation driven by the \(p\)-Laplacian and with a reaction term. Using critical point theory, they show that the problem has five nontrivial smooth solutions.
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antimaximum principle
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nonlinear regularity theory
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critical groups
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local minimizer
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homotopy
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critical point of mountain pass type
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