# Problem Statement

Given a domain $$\Omega$$$, find $$u$$$ such that: -\nabla \cdot \left( k(u) \nabla u \right) + \kappa u = 0 \in \Omega, and \quad k(u) \nabla u \cdot \hat{n} = \sigma \in \partial \Omega, where k(u) \equiv \frac{1}{\sqrt{1 + |\nabla u|^2}} \\ \kappa=1 \\ \sigma=0.2

# Solution

Solution to Laplace-Young equation as defined above.