Monotone approximation of differentiable convex functions with applications to general minimization problems
Analysis of PDEs
2025-04-04 v3 Functional Analysis
Abstract
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 Euler--Lagrange equation or inequality. The main tool is an extension result for convex -energies.
Cite
@article{arxiv.2310.11920,
title = {Monotone approximation of differentiable convex functions with applications to general minimization problems},
author = {Petteri Harjulehto and Peter Hästö and Andrea Torricelli},
journal= {arXiv preprint arXiv:2310.11920},
year = {2025}
}
Comments
The first word in the title was "monotonic" in earlier versions of the manuscript