The best approximation of a given function in $L^2$-norm by Lipschitz functions with gradient constraint

Stefano Buccheri, Tommaso Leonori, Julio D. Rossi

The starting point of this paper is the study of the asymptotic behavior, as $p\to \infty$, of the following minimization problem $$ \min\left\{\frac1{p}\int|\nabla v|^{p}+\frac12\i…