Uniform stability of the ball with respect to the first Dirichlet and Neumann infinity-eigenvalues
In this note we analyze how perturbations of a ball $ B_r \subset \mathbb{R}^n$ behaves in terms of their first (non-trivial) Neumann and Dirichlet $\infty$-eigenvalues when a volume constraint $\mathscr{L}^n(\Omega) = \mathscr{L}^n( B_r)$ is imposed. Our main result states that $\Omega$ is u...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2018-01-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2018/07/abstr.html |