Resumen de Monotonicity and symmetry of solutions of p-Laplace equations, 1 < p < 2, via the moving plane method

Lucio Damascelli, Filomena Pacella

• In this paper we prove some monotonicity and symmetry properties of positive solutions of the equation - div Du) = f (u) satisfying an homogenuous Dirichlet boundary condition in a bounded domain Q. We assume 1 < p < 2 and f locally Lipschitz continuous and we do not require any hypothesis on the critical set of the solution. In particular we get that if Q is a ball then the solutions are radially symmetric and strictly radially decreasing.