3 problems

Absolute maximum principle for tight forms. The restriction of $|F|$ to $\overline{U}$ attains its maximum on $\partial U$. This would extend the absolute-minimization theorem from…

Let $\mathbb{G}$ be a step two Carnot group with horizontal metric $g_h$. Denote by $\Sigma$ the horizontal layer in exponential coordinates, … Let $u$ be the fundamental solution…

Let $\Omega$ be the domain under consideration. Assume that $u,-v\in\operatorname{USC}(\bar\Omega)$ and $f\in C(\Omega)$ satisfy … Suppose that either $u$ has no strict local maxim…