Infinite solutions having a prescribed number of nodes for a p-Laplacian problem
Analysis of PDEs
2014-12-01 v1
Abstract
In this paper, we are concern with the multiplicity of solutions for a p-Laplacian problem. A weaker super-quadratic assumptions is required on the nonlinearity. Under the weaker condition we give a new proof for the infinite solutions having a prescribed number of nodes to the problem. It turns out that the weaker condition on nonlinearity suffices to guarantee the infinitely many solutions. At the same time, a global characterization of the critical values of the nodal radial solutions are given.
Keywords
Cite
@article{arxiv.1411.7909,
title = {Infinite solutions having a prescribed number of nodes for a p-Laplacian problem},
author = {Jing Zeng},
journal= {arXiv preprint arXiv:1411.7909},
year = {2014}
}