A class of rearrangement optimization problems involving the p-Laplacian. (January 2015)

• Record Type: Journal Article
• Authors: Qiu, Chong; Huang, Yisheng; Zhou, Yuying
• Is Part Of: Nonlinear analysis. Volume 112(2015)
• Page Start: 30
• Page End: 42
• Publication Date: 2015-01
• Subjects: 35j20 -- 35j60 -- 49k20; Existence and uniqueness -- Optimization -- Rearrangements; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.09.008
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We investigate two optimization problems related to a quasilinear boundary value problem involving the p -Laplace operator. These optimization problems are formulated relative to the rearrangement of a fixed function. Under some suitable assumptions, we show that both problems are solvable.