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论文类型：期刊论文

发表时间：2018-06-15

发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS

收录刊物：SCIE、Scopus

卷号：264

期号：12

页面范围：7242-7269

ISSN号：0022-0396

关键字：Bifurcation; Mean curvature spacelike equation; Positive solution; Friedmann-Lemaitre-Robertson-Walker spacetime

摘要：We study the existence of spacelike graphs for the prescribed mean curvature equation in the Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. By using a conformal change of variable, this problem is translated into an equivalent problem in the Lorentz-Minkowski spacetime. Then, by using Rabinowitz's global bifurcation method, we obtain the existence and multiplicity of positive solutions for this equation with 0-Dirichlet boundary condition on a ball. Moreover, the global structure of the positive solution set is studied. (C) 2018 Elsevier Inc. All rights reserved.