Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions
Existence and multiplicity results for the prescribed mean curvature equation via lower and upper solutions
We discuss existence and multiplicity of bounded variation solutions of the mixed problem for the prescribed mean curvature equation \begin{equation*} -{\rm div } \Big({\nabla u}/{ \sqrt{1+{|\nabla u|}^2}}\Big) = f(x,u) \hbox{\, in $\Omega$}, \quad u=0 \hbox{\, on $\Gamma_{D}$}, \quad \partial u / \partial \nu =0 \hbox{\, on $ \Gamma_{N}$}, \end{equation*} where …