Some new symmetry results for elliptic problems on the sphere and in Euclidean space (Q1851400)
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scientific article; zbMATH DE number 1846800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some new symmetry results for elliptic problems on the sphere and in Euclidean space |
scientific article; zbMATH DE number 1846800 |
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Some new symmetry results for elliptic problems on the sphere and in Euclidean space (English)
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17 December 2002
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There are given symmetry results for positive solutions of elliptic problems in \(\mathbb{R}^n\) and on the sphere. The authors consider linear boundary value problems as well as a semilinear problem for the \(p\)-Laplacian operator and the Laplace-Beltrami operator. The techniques utilized are the moving plane method, rearrangement inequalities and stereographic projection.
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elliptic equation
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maximum principle
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uniqueness of the solution
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symmetry of the solution
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rearrangement
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stereographic projection
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