Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights (Q930017)
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scientific article; zbMATH DE number 5290959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights |
scientific article; zbMATH DE number 5290959 |
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Existence, non-existence and regularity of radial ground states for \(p\)-Laplacian equations with singular weights (English)
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19 June 2008
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The authors prove the existence of positive or compactly supported radial ground states of quasilinear elliptic equations relative to \(p\)-Laplacian with same weights in zero order terms by using the mountain pass theorem and the constrained minimization method. Regularity and qualitative properties of the solutions are also discussed. A Pohozaev type identity is produced to deuce some non-existence results.
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quasilinearsingular elliptic equations
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weights
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regularity
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Pokhozhaev identity
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mountain pass theorem
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