关于凸约束下凸泛函与一般 Lagrangian 的逼近
偏微分方程分析
2025-10-14 v2
摘要
在本注记中,我们证明了具有凸约束和一般类 Lagrangian 的凸泛函的极小化子可以被 Abreu 型四阶方程的解所逼近。我们的结果推广了 Le 的工作(Twisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equations. Adv. Math. 434 (2023)),后者处理的是二次增长 Lagrangian 的情形。
引用
@article{arxiv.2504.07783,
title = {On approximation of convex functionals with a convexity constraint and general Lagrangians},
author = {Young Ho Kim},
journal= {arXiv preprint arXiv:2504.07783},
year = {2025}
}
备注
Revised version, to appear in Proceedings of the Royal Society of Edinburgh. Section A. Mathematics