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arXiv · 1303.2106

Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities

A. Canino·M. Grandinetti·B. Sciunzi
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Abstract

We consider positive solutions to a singular semilinear elliptic equation in bounded smooth domains, with zero Dirichlet boundary conditions. We provide some weak and strong maximum principles for the H^1_0 part of the solution that allow to deduce symmetry and monotonicity properties of the solutions, via the Moving Plane Method.

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A. Canino, M. Grandinetti, B. Sciunzi. 2013-03-08. Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities. https://arxiv.org/abs/1303.2106

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