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The Faber-Krahn inequality for $p$-Hermite operators

Sun, Xiaomei et al.
arXiv (All) · Papers
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35p15spectral-theory
We prove a Faber-Krahn inequality for the first eigenvalue of the $p$-Hermite operator (the weighted $p$-Laplacian with Gaussian weight) on Lipschitz domains in $\R^n$ under Robin boundary conditions with positive Robin parameter. The main result states that, among all domains of given Gaussian meas
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