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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.