Work

Monotone approximation of differentiable convex functions with applications to general minimization problems

Year: 2025

Type: article

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 $ C^1 $-energies.

Source: Communications on Pure &amp Applied Analysis

DOI: 10.3934/cpaa.2025051

Authors: Petteri Harjulehto, Peter Hästö, Andrea Torricelli

Institutions: University of Helsinki, Politecnico di Torino

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Istituto Nazionale di Alta Matematica "Francesco Severi"

Award: G5488169599