Stability of principal eigenvalue of the Schrödinger type problem for differential inclusions | Zendy

Grzegorz Bartuzel | Zendy; Andrzej Fryszkowski | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability of principal eigenvalue of the Schrödinger type problem for differential inclusions

Author(s) -

Grzegorz Bartuzel,

Andrzej Fryszkowski

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.037

Subject(s) - nabla symbol , mathematics , eigenvalues and eigenvectors , omega , bounded function , domain (mathematical analysis) , type (biology) , lambda , operator (biology) , differential operator , combinatorics , mathematical analysis , pure mathematics , mathematical physics , physics , quantum mechanics , ecology , biology , biochemistry , chemistry , repressor , gene , transcription factor

Let $\Omega\subset \mathbb R^3$ be a bounded domain.Denote by $\lambda_1(m)$ the principal eigenvalue of the Schrodingeroperator $L_m(u)=-\nabla^2 u-mu$ defined on $H^1_0(\Omega)\cap W^{2,1}(\Omega)$.We prove that $\lambda_1: L^{3/2}(\Omega)\to \mathbb R$ is continuous.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research