Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space-Reference-Cited by-同舟云学术

Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space

Published:2019-05 Issue:03 Volume:21 Page:1850003
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Zhang Xuemei¹,Feng Meiqiang²

Affiliation:

1. Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China

2. School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, P. R. China

Abstract

In this paper, bifurcation diagrams and exact multiplicity of positive solution are obtained for the one-dimensional prescribed mean curvature equation in Minkowski space in the form of [Formula: see text] where [Formula: see text] is a bifurcation parameter, [Formula: see text], the radius of the one-dimensional ball [Formula: see text], is an evolution parameter. Moreover, we make a comparison between the bifurcation diagram of one-dimensional prescribed mean curvature equation in Euclid space and Minkowski space. Our methods are based on a detailed analysis of time maps.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199718500037

Reference35 articles.

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2. Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

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4. Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space

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