Uniqueness and radial symmetry for an inverse elliptic equation (Q1415160)
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scientific article; zbMATH DE number 2012598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness and radial symmetry for an inverse elliptic equation |
scientific article; zbMATH DE number 2012598 |
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Uniqueness and radial symmetry for an inverse elliptic equation (English)
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3 December 2003
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Summary: We consider an inverse rearrangement semilinear partial differential equation in a 2-dimensional ball and show that it has a unique maximizing energy solution. The solution represents a confined steady flow containing a vortex and passing over a seamount. Our approach is based on a rearrangement variational principle extensively developed by G. R. Burton.
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