Radial Limits of Nonparametric PMC Surfaces with Intermediate Boundary Curvature

The influence of the geometry domain on behavior generalized solutions Dirichlet problems for elliptic partial differential equations has been an important subject over a century. We investigate boundary variational $f$ prescribed mean curvature in $\Omega \subset \mathbb{R}^{2}$ near point $\mathcal{O} \in \partial \Omega$ under different assumptions about $\partial each side $\mathcal{O}$. prove that radial limits at $\mathcal{O}$ exist data $\phi$, depending properties