Existence of sign changing solutions for an equation with a weighted p-Laplace operator

Cortázar C.; Dolbeault J.; García Huidobro M; Manásevich R

Abstract

We consider radial solutions of a general elliptic equation involving a weighted p-Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence of solutions with any prescribed number of nodes. The method is based on a change of variables in the phase plane, a very general computation of an angular velocity and new estimates for the decay of an energy associated with an asymptotic Hamiltonian problem. Estimating the rate of decay for the energy requires a sub-criticality condition. The method covers the case of solutions which are not compactly supported or which have compact support. In the last case, we show that the size of the support increases with the number of nodes. (C) 2014 Elsevier Ltd.

Más información

Título según WOS: Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Título según SCOPUS: Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Título de la Revista: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volumen: 110
Editorial: PERGAMON-ELSEVIER SCIENCE LTD
Fecha de publicación: 2014
Página de inicio: 1
Página final: 22
Idioma: English
DOI:

10.1016/j.na.2014.07.016

Notas: ISI, SCOPUS