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Morse index and symmetry for elliptic problems with nonlinear mixed boundary conditions
Published online by Cambridge University Press: 27 December 2018
Abstract
We consider an elliptic problem of the type
Under a Morse index condition, we prove cylindrical symmetry results for solutions of the above problem.
As an intermediate step, we relate the Morse index of a solution of the nonlinear problem to the eigenvalues of the following linear eigenvalue problem
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 2 , April 2019 , pp. 305 - 324
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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