Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space
Minghe Pei, Libo Wang, Xuezhe Lv
Boundary Value Problems · 2018
doi:10.1186/s13661-018-0963-5 (opens in a new tab)
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Abstract
In this paper, we consider a one-dimensional mean curvature equation in Minkowski space and the corresponding one-parameter problem. By using a fixed point theorem of cone expansion and compression of norm type, the existence and multiplicity of positive solutions for the above problems are obtained. Meanwhile, as applications of our results, some examples are given.
Abstract licence: CC BY-NC-ND
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