Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions
Analysis of PDEs
2016-08-10 v1
Abstract
Under a Morse index condition we prove symmetry results for solutions of a nonlinear mixed boundary condition elliptic problem. As an intermediate step we relate the Morse index of a solution to a mixed boundary condition linear eigenvalue problem for which we construct sequences of eigenvalues and provide variational characterization of them.
Keywords
Cite
@article{arxiv.1608.02870,
title = {Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions},
author = {Lucio Damascelli and Filomena Pacella},
journal= {arXiv preprint arXiv:1608.02870},
year = {2016}
}