Optimization problems for eigenvalues of p-Laplace equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:398

Article

Marras, Monica¹  Porru, Giovanni¹  Vernier-Piro, Stella¹ 

[1] Univ Cagliari, Dept Math & Informat, I-09124 Cagliari, Italy

关键词: p-Laplace equations;    Principal eigenvalue;    Rearrangements;    Optimization problems;   

DOI  :  10.1016/j.jmaa.2012.09.025

来源: Elsevier

【 摘 要 】

We study minimization and maximization problems for the principal eigenvalue of a p-Laplace equation in a bounded domain Omega, with weight chi(D), where D subset of Omega is a variable subset with a fixed measure alpha. We investigate monotonicity, continuity and differentiability with respect to alpha of the optimizing eigenvalues. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free