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Indexed by:期刊论文

Date of Publication:2018-01-01

Journal:ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

Included Journals:SCIE

Volume:48

Issue:6

Page Number:1799-1814

ISSN No.:0035-7596

Key Words:Bifurcation; mean curvature operator; positive solution

Abstract:We study the global structure of positive solutions of the following mean curvature equation in the Minkowski space
   -div(del u/root 1 - vertical bar del u vertical bar(2)) = lambda f(x,u),
   on an annular domain with the Robin boundary condition. According to the behavior of f near 0, we obtain the existence and multiplicity of positive solutions for this problem.