Author

Francesca Colasuonno

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Preprint Oct 2026

Collapse and saturation for radial nodal solutions of a Lorentz--Minkowski mean curvature equation

We consider the Dirichlet problem for the Lorentz--Minkowski mean curvature operator in a radial setting, $$ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right) = \lambda u + \mu g(u) \quad \text{in } \mathcal B_R, \qquad u = 0 \quad \text{on } \partial\mathcal B_R, $$ on a ball of radius $R$ centere...

A. Boscaggin, Francesca Colasuonno, Ricardo Ziegele · 0 citations

Preprint Jul 2026

Positive and nodal solutions for the Minkowski mean curvature equation: multiplicity and asymptotics

We consider the Dirichlet problem for the mean curvature operator in Minkowski space, \[ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right) = \lambda u + \mu h(x,u) \quad \text{in } \Omega, \qquad u = 0 \quad \text{on } \partial\Omega, \] in a bounded domain $\Omega \subset \mathbb{R}^N$, where $\la...

A. Boscaggin, F. Colasuonno, Ricardo Ziegele · 1 citation · ⚡1