arXiv:2107.10595 Abstract | arXiv Analytics

arXiv:2107.10595 [math.AP]Abstract References Reviews Resources

Two inequalities for the first Robin eigenvalue of the Finsler Laplacian

Published 2021-07-22Version 1

Let \Omega be a bounded connected, open set of \R^n with Lipschitz boundary. Let F be a suitable norm in \R^n and let \Delta_F u be the so-colled Finsler Laplacian. In this paper we prove two inequalities for the first eigenvalue of \Delta_F with Robin boundary conditions involving a positive function \beta. As a consequence of our result we obtain the asymptotic behavior of this eigenvalue when \beta is a positive constant which goes to zero.

Comments: 7 pages

Categories: math.AP

Subjects: 35P15, 35B40

Keywords: first robin eigenvalue, inequalities, robin boundary conditions, asymptotic behavior, so-colled finsler laplacian

Related articles: Most relevant | Search more

arXiv:0801.4798 [math.AP] (Published 2008-01-30)

Asymptotic behavior of global solutions of the $u_t=Δu + u^{p}$

Oscar A. Barraza, Laura B. Langoni

arXiv:1112.5833 [math.AP] (Published 2011-12-26)

Well-posedness and asymptotic behavior of a multidimensional model of morphogen transport

Marcin Małogrosz

arXiv:0911.0234 [math.AP] (Published 2009-11-02)