Extensions of a result by G. Talenti to (p, q)-Laplace equations. (March 2019)

• Record Type: Journal Article
• Authors: Emamizadeh, Behrouz; Liu, Yichen; Porru, Giovanni
• Is Part Of: Nonlinear analysis. Volume 180(2019)
• Page Start: 41
• Page End: 51
• Publication Date: 2019-03
• Subjects: 35J25 -- 49K20 -- 49K30; (p, q)-Laplacian -- Symmetrization -- Comparison results; 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.2018.09.005
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove a comparison result for solutions to (p, q)-Laplace equation via Schwarz symmetrization. For the p-Laplace equation, the corresponding result is due to Giorgio Talenti. In a special (radial) case we also prove a reverse comparison result.