English

Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains

Analysis of PDEs 2008-03-27 v1

Abstract

In this paper we study the maximum principle, the existence of eigenvalue and the existence of solution for the Dirichlet problem for operators which are fully-nonlinear, elliptic but presenting some singularity or degeneracy which are similar to those of the p-Laplacian, the novelty resides in the fact that we consider the equations in bounded domains which only satisfy the exterior cone condition.

Keywords

Cite

@article{arxiv.0803.3739,
  title  = {Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains},
  author = {I. Birindelli and F. Demengel},
  journal= {arXiv preprint arXiv:0803.3739},
  year   = {2008}
}

Comments

24 pages

R2 v1 2026-06-21T10:24:38.183Z