Orlicz-Sobolev 空间中 $W^{1}L^{\Phi}$-型梯度 Young 测度及积分型函数的同质化
偏微分方程分析
2024-07-08 v1 最优化与控制
摘要
(Two-scale) gradient Young measures in Orlicz-Sobolev setting are introduced and characterized providing also an integral representation formula for non convex energies arising in homogenization problems with nonstandard growth。
引用
@article{arxiv.2407.03359,
title = {(Two-scale) $W^{1}L^{\Phi}$-gradient Young measures and homogenization of integral functionals in Orlicz-Sobolev spaces},
author = {Joel Fotso Tachago and Hubert Nnang and Franck Tchinda and Elvira Zappale},
journal= {arXiv preprint arXiv:2407.03359},
year = {2024}
}