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

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.

preprint2016arXivOpen access
Lucio DamascelliFilomena Pacella
math.AP
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Open access2 authors1 topic
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Lucio DamascelliFilomena Pacella

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