Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains. (October 2019)

• Record Type: Journal Article
• Authors: Dong, Xu; Wei, Yuanhong
• Is Part Of: Nonlinear analysis. Volume 187(2019)
• Page Start: 93
• Page End: 109
• Publication Date: 2019-10
• Subjects: 35J91 -- 35J25 -- 35A01; Annular domain -- Radial solution -- Gradient term -- Fixed point -- Iterative method; 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.2019.03.024
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper is concerned with the problem of elliptic equations in annular domains involving derivative terms. Using nonlinear analysis methods, some results regarding existence of solutions are established. More precisely, at least one radial solution is obtained basing on Schauder's fixed point theorem and contraction mapping theorem, respectively. Some iterative technique is also applied, which allows us to overcome difficulties that the nonlinearity is related to derivative terms.