Existence of solutions to nonlinear, subcritical higher-order elliptic Dirichlet problems

Wolfgang Reichel, Tobias Weth

We consider the $2m$-th order elliptic boundary value problem $Lu=f(x,u)$ on a bounded smooth domain $\Omega \subset {\mathbb{R}}^N$ with Dirichlet boundary conditions on $\partial \Omega$. The operator…