Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space
2019 ◽
Vol 21
(03)
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pp. 1850003
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Keyword(s):
The One
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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.
2017 ◽
Vol 24
(1)
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pp. 113-134
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2013 ◽
Vol 405
(1)
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pp. 227-239
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2012 ◽
Vol 395
(1)
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pp. 393-402
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2016 ◽
Vol 106
(6)
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pp. 1122-1140
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