English

Maximum principle and one-sign solutions for the elliptic $p$-Laplacian

Analysis of PDEs 2012-07-31 v1

Abstract

In this paper, we prove a maximum principle for the pp-Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solutions for a class of quasilinear elliptic problems.

Keywords

Cite

@article{arxiv.1207.6671,
  title  = {Maximum principle and one-sign solutions for the elliptic $p$-Laplacian},
  author = {Guowei Dai},
  journal= {arXiv preprint arXiv:1207.6671},
  year   = {2012}
}

Comments

6 pages