Sep 29th, 2016 Lecture: Symmetry results for entire solutions of a biharmonic equation with exponential nonlinearity

Date:2016-10-14Views:146

Abstract:  We obtain necessary and sufficient conditions for an entire solution  of a biharmonic equation with exponential nonlinearity to be radially symmetric. We give the asymptotic expansions of the solution and its laplacian at infinite and then apply the moving plane method for a system of equations. We give also a short survey on the structure of solutions set on this type of equations.

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