Existence of a positive solution for a singular elliptic problem with general exponential growth. (February 2022)

• Record Type: Journal Article
• Authors: Montenegro, Marcelo; Tordecilla, Jesus Alberto Leon
• Is Part Of: Nonlinear analysis. Volume 215(2022)
• Publication Date: 2022-02
• Subjects: primary 35J75 -- secondary 35B33 35B40 35J66; Existence of solution -- Singular boundary condition -- Critical growth -- Trudinger–Moser inequality; 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.2021.112629
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove the existence of a positive solution for a singular elliptic equation with singular boundary condition. The nonlinearity considered in the equation and on the boundary involve the Trudinger–Moser growth which can be subcritical, critical or supercritical. We use an approximation scheme together with Brouwer's theorem to establish the existence of a positive solution.