Showing 2023Show all
2 papers · 1 filter
math.AP2023
Monotone approximation of differentiable convex functions with applications to general minimization problems
Petteri Harjulehto, Peter Hästö, Andrea Torricelli
We study minimizers of non-autonomous energies with minimal growth and coercivity assumptions on the energy. We show that the minimizer is nevertheless the solution of the relevant…
math.AP2023
Relaxation of one-dimensional nonlocal supremal functionals in the Sobolev setting
Andrea Torricelli, Elvira Zappale
We provide necessary and sufficient conditions on the density in order to ensure the sequential weak* lower semicontinuity of the func…