5 papers
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) \qu…
Periodic orbits with prescribed negative energy for relativistic Keplerian problems
Alberto Boscaggin, Guglielmo Feltrin, Duccio Papini
Using a variational approach, we study the existence of periodic solutions with prescribed energy for the relativistic equation \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\le…
Reparametrizing the relativistic Kepler equation: a bridge to Levi-Civita-type models
Alberto Boscaggin, Walter Dambrosio
We establish a link between different relativistic variants of the Kepler problem. In particular, we show that solutions of the special relativistic model with fixed energy can be…
Bifurcation from periodic solutions of central force problems in the three-dimensional space
Alberto Boscaggin, Guglielmo Feltrin, Duccio Papini
The paper deals with electromagnetic perturbations of a central force problem of the form \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t} \bigl( Ï(\dot{x}) \bigr) = V'(|x|) \dfr…
An Orlicz space approach to exponential elliptic problems in higher dimensions
Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1
We consider semilinear elliptic problems of the form \[ -Îu + λu = f(x,u), \quad u\in H^1_0(A), \] where , , is either a bounded or unbounded annulu…