Published Paper

Inserted: 5 jun 2013
Last Updated: 7 jan 2016

Journal: NoDEA Nonlinear Differential Equations Appl.
Volume: 21
Number: 6
Pages: 869-883
Year: 2014

Abstract:

We prove the one-dimensional symmetry of solutions to elliptic equations of the form $-div(e^{G(x)}a(
\nabla u
)\nabla u)=f(u) e^{G(x)}$, under suitable energy conditions. Our results hold without any restriction on the dimension of the ambient space.

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