A prescribed anisotropic mean curvature equation modeling the corneal shape: A paradigm of nonlinear analysis
A prescribed anisotropic mean curvature equation modeling the corneal shape: A paradigm of nonlinear analysis
In this paper we survey, complete and refine some recent results concerning the Dirichlet problem for the prescribed anisotropic mean curvature equation$\begin{equation*}{\rm{ -div}}\left({\nabla u}/{\sqrt{1 + |\nabla u|^2}}\right) = -au + {b}/{\sqrt{1 + |\nabla u|^2}},\end{equation*}$in a bounded Lipschitz domain $Ω \subset \mathbb{R}^N$ , with $a,b>0$ parameters. This equation appears in the …