| Abstrakt: |
Abstract: The paper surveys recent results obtained for the existence and multiplicity of radial solutions of Dirichlet problems of the type \nabla\cdot\bigg(\frac{\nabla v}{\sqrt{1 - |\nabla v|^2}}\bigg) = f(|x|,v) \quad\text{in} B_R,\quad u = 0 \quad\text{on} \partial B_R , where B_R is the open ball of center 0 and radius R in \mathbb R^n, and f is continuous. Comparison is made with similar results for the Laplacian. Topological and variational methods are used and the case of positive solutions is emphasized. The paper ends with the case of a general domain. |
