A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem
Abstract
This paper is about the following eigenvalue problem: by using a Ljusternik-Schnirelmann theory for variational inequalities in a space of functions of bounded variation, we show the existence of infinite sequences of eigenvalues and eigenfunctions on each level of the area functional. Properties and finite dimensional approximation of these eigenvalues and eigenfunctions are also described.
Recommended Citation
V. K. Le, "A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem," Nonlinear Analysis, Elsevier, Jan 2006.
The definitive version is available at https://doi.org/10.1016/j.na.2005.07.004
Department(s)
Mathematics and Statistics
Keywords and Phrases
Eigenvalue Problem; Function Of Bounded Variation; Prescribed Mean Curvature Problem; Variational Inequalities (Mathematics)
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2006 Elsevier, All rights reserved.
Publication Date
01 Jan 2006
