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Symmetry results for nonlinear elliptic operators with unbounded drift (1306.1313v1)
Published 6 Jun 2013 in math.AP
Abstract: We prove the one-dimensional symmetry of solutions to elliptic equations of the form $-\dive(e{G(x)}a(|\nabla u|)\nabla u)=f(u) e{G(x)}$, under suitable energy conditions. Our results hold without any restriction on the dimension of the ambient space.
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