The moving plane method for singular semilinear elliptic problems
Analysis of PDEs
2016-07-29 v1
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.
Cite
@article{arxiv.1607.08395,
title = {The moving plane method for singular semilinear elliptic problems},
author = {Annamaria Canino and Luigi Montoro and Berardino Sciunzi},
journal= {arXiv preprint arXiv:1607.08395},
year = {2016}
}