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arXiv · 1306.1313

Symmetry results for nonlinear elliptic operators with unbounded drift

Alberto Farina·Matteo Novaga·Andrea Pinamonti
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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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Alberto Farina, Matteo Novaga, Andrea Pinamonti. 2013-06-06. Symmetry results for nonlinear elliptic operators with unbounded drift. https://arxiv.org/abs/1306.1313

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