Abstract
We establish the existence of nontrivial nonnegative solution for the following 0-Dirichlet problem with mean curvature operator in the Minkowski space
where \(\Omega \) is a general bounded domain of \(\mathbb {R}^N\). By bifurcation and topological methods, we determine the interval of parameter \(\lambda \) in which the above problem has nontrivial nonnegative solution according to sublinear or linear nonlinearity at zero.
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Research supported by NNSF of China (No. 11401477).
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Dai, G. Global bifurcation for problem with mean curvature operator on general domain. Nonlinear Differ. Equ. Appl. 24, 30 (2017). https://doi.org/10.1007/s00030-017-0454-x
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DOI: https://doi.org/10.1007/s00030-017-0454-x