Uniqueness and radial symmetry for an inverse elliptic equation

B. Emamizadeh; M. H. Mehrabi

doi:10.1155/S0161171203211236

Uniqueness and radial symmetry for an inverse elliptic equation

Research output: Journal Publication › Article › peer-review

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.

Original language	English
Pages (from-to)	3047-3052
Number of pages	6
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2003
Issue number	48
DOIs	https://doi.org/10.1155/S0161171203211236
Publication status	Published - 2003
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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title = "Uniqueness and radial symmetry for an inverse elliptic equation",

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.",

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AB - 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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DO - 10.1155/S0161171203211236

M3 - Article

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

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Uniqueness and radial symmetry for an inverse elliptic equation

Abstract

ASJC Scopus subject areas

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