Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations

Details Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations

2011-03-29

arxiv.org/abs/1104.1101v5

Mathematics

Analysis of PDEs

Scientific paper

We provide isoperimetric Szeg\"{o}-Weinberger type inequalities for the first nontrivial Neumann eigenvalue $\mu_{1}(\Omega)$ in Gauss space, where $\Omega$ is a possibly unbounded domain of $\mathbb{R}^{N}$. Our main result consists in showing that among all sets of $\mathbb{R}^{N}$ symmetric about the origin, having prescribed Gaussian measure, $\mu_{1}(\Omega)$ is maximum if and only if $\Omega$ is the euclidean ball centered at the origin.

Affiliated with

Also associated with

No associations

Rating

Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isoperimetric estimates for the first Neumann eigenvalue of Hermite differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164449