| Abstract: |
| We study the Dirichlet problem for the mean curvature operator in Minkowski space on a bounded domain $\Omega \subset \mathbb{R}^n$. For this problem, we study the interaction between two parameters $(\lambda,\mu)$ and ther effects on the multiplicity of nodal solutions. In the general setting, using non-smooth variational methods, we prove the existence of a ground-state solution and a linking solution. In the radial case, we prove existence and multiplicity of nodal solutions. Finally, we characterize the limiting profile of these solutions in both settings as $\mu \to +\infty$.
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\noindent This is a joint work with Alberto Boscaggin (Universit\`a di Torino) and Francesca Colasuonno (Universit\`a di Torino). |
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