Title

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

eigenvalue problem; function of bounded variation; prescribed mean curvature problem

Library of Congress Subject Headings

Variational inequalities (Mathematics)

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Elsevier, All rights reserved.


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