• Corpus ID: 10181783

Eigenvalues for radially symmetric non-variational fully nonlinear operators

  title={Eigenvalues for radially symmetric non-variational fully nonlinear operators},
  author={Maria J. Esteban and Patricio Felmer and Alexander M. Quaas},
  journal={arXiv: Analysis of PDEs},
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… 



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