Infinitely many solutions for a Dirichlet problem with a nonhomogeneous $p$-Laplacian-like operator in a ball

Abstract

Using a continuation theorem dealing with nonlinear equations in absence of a priori bounds, we prove the existence of infinitely many radially symmetric solutions, with prescribed nodal properties, for a Dirichlet problem having superlinear growth and involving a non homogeneous $p$-Laplacian-like operator.