Nonlinear boundary problem for Harmonic functions in higher dimensional Euclidean half-spaces

Marcelo F. de Almeida, Lidiane S. M. Lima

In this paper we are interested on solvability of the problem \begin{align*} \begin{cases} -Δu=0 & \text{in} \;\;\;\mathbb{R}^{n+1}_{+}\;\;\;\;\;\;\;\;\;\\ \;\;\displaystyle{\frac{…