Concentration at submanifolds for an elliptic Dirichlet problem near high critical exponents

Shengbing Deng, Fethi Mahmoudi, Monica Musso

Let $\Omega$ be a open bounded domain in ${\mathbb{R}}^n$ with smooth boundary $\partial \Omega$. We consider the equation $\Delta u+u^{\frac{n-k+2}{n-k-2}-\epsilon }=0in\Omega$, under…