A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem
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.
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
Mathematics and Statistics
Keywords and Phrases
Eigenvalue Problem; Function Of Bounded Variation; Prescribed Mean Curvature Problem; Variational Inequalities (Mathematics)
Article - Journal
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