4 papers
Collapse and saturation for radial nodal solutions of a Lorentz--Minkowski mean curvature equation
Alberto Boscaggin, Francesca Colasuonno, Ricardo Ziegele
We consider the Dirichlet problem for the Lorentz--Minkowski mean curvature operator in a radial setting, $$ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)…
Positive solutions for an indefinite-weight Minkowski mean curvature Neumann problem: multiplicity and asymptotic behaviour
Ricardo Ziegele
We study the Neumann boundary value problem $$ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right) = λa(x)g(u) \quad \text{in } Ω, \qquad \frac{\nabla u}{\sqrt{1…
Positive and nodal solutions for the Minkowski mean curvature equation: multiplicity and asymptotics
Alberto Boscaggin, Francesca Colasuonno, Ricardo Ziegele
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) = λu + μh(x,u) \quad…
Existence and a priori bounds for fully nonlinear PDEs with a harmonic map-like structure
Gabrielle Nornberg, Ricardo Ziegele
In this paper, we study a new class of fully nonlinear uniformly elliptic equations with a so-called harmonic map-like structure, whose model case is given by \begin{equation*} \ma…