Eigenvalues for radially symmetric non-variational fully nonlinear operators
Analysis of PDEs
2009-08-10 v1
Abstract
In this paper we present an elementary theory about the existence of eigenvalues for fully nonlinear radially symmetric 1-homogeneous operators. A general theory for first eigenvalues and eigenfunctions of 1-homogeneous fully nonlinear operators exists in the framework of viscosity solutions. Here we want to show that for the radially symmetric operators (and one dimensional) a much simpler theory can be established, and that the complete set of eigenvalues and eigenfuctions characterized by the number of zeroes can be obtained.
Cite
@article{arxiv.0908.1060,
title = {Eigenvalues for radially symmetric non-variational fully nonlinear operators},
author = {Maria J. Esteban and Patricio Felmer and Alexander Quaas},
journal= {arXiv preprint arXiv:0908.1060},
year = {2009}
}