On a critical Kirchhoff-type problem. (March 2020)

• Record Type: Journal Article
• Authors: Faraci, Francesca; Farkas, Csaba
• Is Part Of: Nonlinear analysis. Volume 192(2020)
• Publication Date: 2020-03
• Subjects: 35J20 -- 35J60; Kirchhoff type problem -- Critical nonlinearity -- Sequentially weakly lower semicontinuity -- Palais–Smale condition -- Exterior domains; 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.2019.111679
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In the present paper we study a Kirchhoff type problem involving the critical Sobolev exponent. We give sufficient conditions for the sequentially weakly lower semicontinuity and the Palais–Smale property of the energy functional associated to the problem.