Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential

Catherine Bandle, Moshe Marcus, Vitaly Moroz

We study a nonlinear equation in the half-space $\{x_1>0\}$ with a Hardy potential, specifically \[-Δu -\fracμ{x_1^2}u+u^p=0\quad\text{in}\quad \mathbb R^n_+,\] where $p>1$ and $-\…