Emamizadeh, B.; Mehrabi, M. H. Uniqueness and radial symmetry for an inverse elliptic equation. (English) Zbl 1130.35332 Int. J. Math. Math. Sci. 2003, No. 48, 3047-3052 (2003). 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. MSC: 35J35 Variational methods for higher-order elliptic equations 35J60 Nonlinear elliptic equations 76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids PDFBibTeX XMLCite \textit{B. Emamizadeh} and \textit{M. H. Mehrabi}, Int. J. Math. Math. Sci. 2003, No. 48, 3047--3052 (2003; Zbl 1130.35332) Full Text: DOI EuDML