The moving plane method for singular semilinear elliptic problems
  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. 
Annamaria Canino, Luigi Montoro, Berardino Sciunzi
math.AP