MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS-Reference-Cited by-同舟云学术

MAXIMIZATION OF EIGENVALUES OF ONE-DIMENSIONAL p-LAPLACIAN WITH INTEGRABLE POTENTIALS

Published:2013-01-22 Issue:01 Volume:15 Page:1250049
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

MENG GANG¹,YAN PING²,ZHANG MEIRONG²³

Affiliation:

1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100080, P. R. China

2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China

3. Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, P. R. China

Abstract

In this paper we will use variational methods and limiting approaches to give a complete solution to the maximization problems of the Dirichlet/Neumann eigenvalues of the one-dimensional p-Laplacian with integrable potentials of fixed L1-norm.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199712500496

Reference24 articles.

1. Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the p-Laplacian

2. Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight

3. Sharp Estimates for the Eigenvalues of Some Differential Equations

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