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arXiv · 1608.02870

Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions

Lucio Damascelli·Filomena Pacella
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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.

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Lucio Damascelli, Filomena Pacella. 2016-08-09. Morse Index and Symmetry for Elliptic Problems with Nonlinear Mixed Boundary Conditions. https://arxiv.org/abs/1608.02870

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