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Uniqueness and radial symmetry for an inverse elliptic equation
2003
International Journal of Mathematics and Mathematical Sciences
Preserved Fulltext
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.
doi:10.1155/s0161171203211236
fatcat:tf6yn6dtn5brrgyz2zxjyaybge