English

Principal eigenvalues for Isaacs operators with Neumann boundary conditions

Analysis of PDEs 2009-12-10 v3

Abstract

In this paper we show the existence of two principal eigenvalues associated to general non-convex fully nonlinear elliptic operators with Neumann boundary conditions in a bounded C2C^2 domain. We study these objects and we establish some of their basic properties. Finally, Lipschitz regularity, uniqueness and existence results for the solution of the Neumann problem are given.

Keywords

Cite

@article{arxiv.0802.0452,
  title  = {Principal eigenvalues for Isaacs operators with Neumann boundary conditions},
  author = {Stefania Patrizi},
  journal= {arXiv preprint arXiv:0802.0452},
  year   = {2009}
}

Comments

22 pages

R2 v1 2026-06-21T10:09:23.826Z