Uniqueness and radial symmetry for an inverse elliptic equation
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 var...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203211236 |
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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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |