Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator. (August 2020)

• Record Type: Journal Article
• Authors: Bonanno, Gabriele; D'Aguì, Giuseppina; Livrea, Roberto
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: primary 35J15 35J25 35J62 -- secondary 35J92; Variational methods -- Critical point -- Nonlinear elliptic problem -- p-Laplacian -- Multiple solutions; 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.2020.111862
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Some multiplicity results for a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of p -Laplacian type are given. Via variational methods, the article furnishes new contributions and completes some previous results obtained for problems considering other types of differential operators and/or nonlinear terms satisfying different asymptotic conditions.