Symmetry and concentration behavior of ground state in axially symmetric domains (Q1773560)
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scientific article; zbMATH DE number 2163695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry and concentration behavior of ground state in axially symmetric domains |
scientific article; zbMATH DE number 2163695 |
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Symmetry and concentration behavior of ground state in axially symmetric domains (English)
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29 April 2005
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Summary: Let \(\Omega(r)\) be axially symmetric bounded domains which satisfy some suitable conditions. Then the ground-state solutions of a semilinear elliptic equation in \(\Omega(r)\) are, in general, nonaxially symmetric and concentrated on one side. We prove a necessary and sufficient condition for the symmetry of ground-state solutions.
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0.8601647
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0.8447275
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0.84128964
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0.8401565
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0.83470374
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