It is known that, if $\Omega\subset\R^2$ is a convex, possibly unbounded, set, the first nontrivial Neumann eigenvalue of the Hermite operator satisfies the following inequality: $\mu_1(\Omega)\ge 1$. We investigate the equality case, by proving that $\mu_1(\Omega)=1$ if and only if $\Omega$ is a strip.

The Neumann eigenvalue problem for the Hermite operator / Brandolini, B.. - (2018). (Intervento presentato al convegno Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type tenutosi a MATRIX Creswick (Australia) nel 12-16 novembre 2018).

The Neumann eigenvalue problem for the Hermite operator

B. Brandolini
2018

Abstract

It is known that, if $\Omega\subset\R^2$ is a convex, possibly unbounded, set, the first nontrivial Neumann eigenvalue of the Hermite operator satisfies the following inequality: $\mu_1(\Omega)\ge 1$. We investigate the equality case, by proving that $\mu_1(\Omega)=1$ if and only if $\Omega$ is a strip.
2018
The Neumann eigenvalue problem for the Hermite operator / Brandolini, B.. - (2018). (Intervento presentato al convegno Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type tenutosi a MATRIX Creswick (Australia) nel 12-16 novembre 2018).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/741617
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