| Abstract: |
| The Dirichlet problem for the mean curvature operator in Minkowski space is considered in a radial domain of $\mathbb R^N$. For this problem, we prove the existence of a ground state and a linking solution in the general case, and the multiplicity of radial nodal solutions in the radially symmetric setting. We also investigate the asymptotic behavior of these solutions as a parameter in the equation tends to infinity. |
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