Stability of principal eigenvalue of the Schrödinger type problem for differential inclusions
Keywords
Stability, principal eigenvalue, Schrödinger operatorAbstract
Let $\Omega\subset \mathbb R^3$ be a bounded domain. Denote by $\lambda_1(m)$ the principal eigenvalue of the Schrödinger operator $L_m(u)=-\nabla^2 u-mu$ 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.Downloads
Published
2000-09-01
How to Cite
1.
BARTUZEL, Grzegorz and FRYSZKOWSKI, Andrzej. Stability of principal eigenvalue of the Schrödinger type problem for differential inclusions. Topological Methods in Nonlinear Analysis. Online. 1 September 2000. Vol. 16, no. 1, pp. 181 - 194. [Accessed 19 April 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0