A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem

Vy Khoi Le

doi:10.1016/j.na.2005.07.004

A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem

Vy Khoi Le

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Nonlinear Analysis
DOIs	https://doi.org/10.1016/j.na.2005.07.004
State	Published - Jan 1 2006

Keywords

Eigenvalue Problem
Function Of Bounded Variation
Prescribed Mean Curvature Problem
Variational Inequalities (Mathematics)

Disciplines

Mathematics
Statistics and Probability

Access to Document

10.1016/j.na.2005.07.004License: Unspecified

https://doi.org/10.1016/j.na.2005.07.004

Cite this

@article{7aab757c90de4a5b95c3786e29298554,

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.",

keywords = "Eigenvalue Problem, Function Of Bounded Variation, Prescribed Mean Curvature Problem, Variational Inequalities (Mathematics)",

author = "Le, \{Vy Khoi\}",

year = "2006",

month = jan,

day = "1",

doi = "10.1016/j.na.2005.07.004",

language = "American English",

journal = "Nonlinear Analysis",

}

TY - JOUR

T1 - A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem

AU - Le, Vy Khoi

PY - 2006/1/1

Y1 - 2006/1/1

N2 - 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.

AB - 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.

KW - Eigenvalue Problem

KW - Function Of Bounded Variation

KW - Prescribed Mean Curvature Problem

KW - Variational Inequalities (Mathematics)

UR - https://scholarsmine.mst.edu/math_stat_facwork/514

UR - https://doi.org/10.1016/j.na.2005.07.004

U2 - 10.1016/j.na.2005.07.004

DO - 10.1016/j.na.2005.07.004

M3 - Article

JO - Nonlinear Analysis

JF - Nonlinear Analysis

ER -

A Ljusternik-Schnirelmann Type Theorem for Eigenvalues of a Prescribed Mean Curvature Problem

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Fingerprint

Cite this