Vanishing properties of sign changing solutions to p-Laplace type equations in the plane

Abstract

We study the nonlinear eigenvalue problem for the p-Laplacian, and more general problem constituting the Fucik spectrum. We are interested in some vanishing properties of sign changing solutions to these problems. Our method is applicable in the plane.Comment: In v2, we discuss and fix a gap that was found in our method. However, our results are weaker after this modificatio