On some Variational Problems set on domains tending to infinity

Michel Chipot, Aleksandar Mojsic, Prosenjit Roy

Let ${\Omega }_{\ell }=\ell {\omega }_1\times {\omega }_2$ where ${\omega }_1\subset {\mathbb{R}}^p$ and ${\omega }_2\subset {\mathbb{R}}^{n-p}$ are assumed to be open and bounded. We consider the following minimization problem: $$E_{Ω_\el…