3 problems

Let $N\geq 1$, $p\geq 1$, and $\gamma\in\mathbb{R}\setminus\{0\}$. Let $Q=(0,1)^N$, let … and define $\kappa_{N,p,\gamma}$ by taking the infimum over measurable families…

DDP conjecture. For every $p\in[1,\infty)$, conditions on the family $(\rho_t)_{t\in I}$ analogous to those established through Fourier-transform methods when $p=2$ are both suffic…

Let $\Omega\subset\mathbb{R}^d$ be a domain and let $MS$ denote the Mumford–Shah functional … where $u\in SBV(\Omega)$, $\nabla u$ is the absolutely continuous part of its gradient…