Coupled elliptic systems in RN with (p, N) Laplacian and critical exponential nonlinearities. (December 2020)

• Record Type: Journal Article
• Authors: Chen, Sitong; Fiscella, Alessio; Pucci, Patrizia; Tang, Xianhua
• Is Part Of: Nonlinear analysis. Volume 201(2020)
• Publication Date: 2020-12
• Subjects: 35J47 -- 35B08 -- 35B33 -- 35J50 -- 35B09; (p, N) Laplacian -- Nonlinear system -- Critical exponential nonlinearities -- Variational methods; 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.2020.112066
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The paper deals with the existence of nonnegative solutions for ( p, N ) systems in R N involving critical exponential growth nonlinearities. The constructed solution has both components nontrivial and different, that is it solves the actual system, which does not reduce into an equation. The main feature and novelty of the paper is the presence of a general coupled critical exponential term of the Trudinger–Moser type, set in R N .