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arXiv · 1607.08395

The moving plane method for singular semilinear elliptic problems

Annamaria Canino·Luigi Montoro·Berardino Sciunzi
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Abstract

We consider positive solutions to semilinear elliptic problems with singular nonlinearities, under zero Dirichlet boundary condition. We exploit a refined version of the moving plane method to prove symmetry and monotonicity properties of the solutions, under general assumptions on the nonlinearity.

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Annamaria Canino, Luigi Montoro, Berardino Sciunzi. 2016-07-28. The moving plane method for singular semilinear elliptic problems. https://arxiv.org/abs/1607.08395

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