English

Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator

Analysis of PDEs 2015-06-26 v1

Abstract

In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem. This allows us to solve equations involving Pucci's operators.

Keywords

Cite

@article{arxiv.math/0409298,
  title  = {Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator},
  author = {Jerome Busca and Maria J. Esteban and Alex Quaas},
  journal= {arXiv preprint arXiv:math/0409298},
  year   = {2015}
}