Uniqueness and radial symmetry for an inverse elliptic equation

B. Emamizadeh and M. H. Mehrabi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-6

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:560803

DOI: 10.1155/S0161171203211236

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