Bubbling on Boundary Submanifolds for the Lin-Ni-Takagi Problem at Higher Critical Exponents

Manuel Del Pino, Fethi Mahmoudi, Monica Musso

We consider the equation $d^2\Delta u-u+u^{\frac{n-k+2}{n-k-2}}=0in\Omega$, under zero Neumann boundary conditions, where $\Omega$ is open, smooth and bounded and $d$ is a small posit…