Abstract
We study the global structure of positive solutions of the following mean curvature equation in the Minkowski space \[ -\div \bigg (\frac {\nabla u}{\sqrt {1-\vert \nabla u\vert ^2}}\bigg )= \lambda f(x,u), \] 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.
Citation
Xiaofei Cao. Guowei Dai. Ning Zhang. "Global structure of positive solutions for problem with mean curvature operator on an annular domain." Rocky Mountain J. Math. 48 (6) 1799 - 1814, 2018. https://doi.org/10.1216/RMJ-2018-48-6-1799
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