Existence result under flatness condition for a nonlinear elliptic equation with Sobolev exponent

Zakaria Boucheche

In this paper, we consider the following nonlinear elliptic equation with Dirichlet boundary condition: $-\Delta u=K(x)u^{\frac{n+2}{n-2}},u>0$ in $\Omega ,u=0$ on $\partial \Omega$, where $\Omega$…