Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-01-01

Journal: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

Included Journals: SCIE

Volume: 48

Issue: 6

Page Number: 1799-1814

ISSN: 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.