@article{Coelho_Corsato_Rivetti_2016, title={Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball}, volume={44}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2014.034}, abstractNote={We study the existence and multiplicity of positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation
$$
\cases
\displaystyle
-\text{\rm div}\bigg( \frac{
abla v} {\sqrt{1 - |
abla v|^2 }\bigg)= f(|x|,v) &\quad \text{in } B_R,
\\
\displaystyle
v=0 & \quad \text{on } \partial B_R,
\endcases
$$ < p> where $B_R$ is a ball in $\mathbb{R}^N$ ($N\ge 2$).
According to the behaviour of $f=f(r,s)$ near $s=0$, we prove the existence of either one, two or three positive solutions.
All results are obtained by reduction to an equivalent non-singular one-dimensional problem, to which variational methods can be applied in a standard way.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Coelho, Isabel and Corsato, Chiara and Rivetti, Sabrina}, year={2016}, month={Apr.}, pages={23–39} }