English

First eigenvalue and Maximum principle for fully nonlinear singular operators

Analysis of PDEs 2007-05-23 v1

Abstract

Through the Maximum principle we define the principal eigenvalue for a class of fully-nonlinear operators that are the non-variational equivalent of the p-Laplacian. We also obtain some a priori Holder estimates for non-negative solutions below that eigenvalue.

Keywords

Cite

@article{arxiv.math/0407404,
  title  = {First eigenvalue and Maximum principle for fully nonlinear singular operators},
  author = {I. Birindelli and F. Demengel},
  journal= {arXiv preprint arXiv:math/0407404},
  year   = {2007}
}

Comments

35 pages, 0 figures