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Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space
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Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space
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Journal Article
Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space
2016
Overview
Using bifurcation method, we investigate the existence, nonexistence and multiplicity of positive solutions for the following Dirichlet problem involving mean curvature operator in Minkowski space -div∇v1-|∇v|2=λf(|x|,v)inBR(0),v=0on∂BR(0). We managed to determine the intervals of the parameter λ in which the above problem has zero, one or two positive radial solutions corresponding to sublinear, linear, and superlinear nonlinearities f at zero respectively. We also studied the asymptotic behaviors of positive radial solutions as λ→+∞ .
Publisher
Springer Nature B.V
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