Multiplicity of positive radial solutions of a singular mean curvature equations in Minkowski space. (October 2016)

• Record Type: Journal Article
• Authors: Pei, Minghe; Wang, Libo
• Is Part Of: Applied mathematics letters. Volume 60(2016:Oct.)
• Page Start: 50
• Page End: 55
• Publication Date: 2016-10
• Subjects: Mean curvature equations -- Singular Dirichlet problem -- Radial solutions -- Leggett–Williams' fixed point theorem; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.04.001
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this article, by using the Leggett–Williams' fixed point theorem, we prove the existence of at least three positive radial solutions of the singular Dirichlet problem for the prescribed mean curvature equation in Minkowski space { div ( ∇ v 1 − | ∇ v | 2 ) + f ( | x |, v ) = 0 in Ω ; v = 0 on ∂ Ω, and the corresponding one-parameter problem. Here Ω is a unit ball in R N .