Young measure theory for unsteady problems in Orlicz–Sobolev spaces

被引：0
作者：
Elhoussine Azroul
Farah Balaadich
机构：
[1] Faculty of Sciences Dhar El Mehraz,Department of Mathematics
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2020年 / 69卷
关键词：
Quasilinear parabolic systems; Orlicz spaces; Weak solutions; Young measures; 35K59; 35Q30; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the solvability of the initial-boundary value problem for quasilinear parabolic system in divergence form with nonstandard growth conditions related to N-functions. By means of the theory of Young measure we prove the existence of weak solutions.
引用
收藏
页码：1265 / 1278
页数：13
相关论文
共 24 条
  • [11] Nägele P(1962)Monotone (nonlinear) operators in Hilbert space Duke Math. J. 124 255-271
  • [12] Ru̇z̆ic̆ka R(1999)On monotone-like mappings in Orlicz–Sobolev spaces Math. Bohem. 24 107-172
  • [13] Elmahi A(1963)On general boundary problems for elliptic differential equations Amer. Math. Soc. Transl. 2018 1-19
  • [14] Meskine D(2018)Existence of weak solutions for quasilinear parabolic systems in divergence form with variable growth Electron. J. Differ. Equ. undefined undefined-undefined
  • [15] Hungerühler N(undefined)undefined undefined undefined undefined-undefined
  • [16] Hungerbühler N(undefined)undefined undefined undefined undefined-undefined
  • [17] Gwiazda P(undefined)undefined undefined undefined undefined-undefined
  • [18] Landes R(undefined)undefined undefined undefined undefined-undefined
  • [19] Minty GJ(undefined)undefined undefined undefined undefined-undefined
  • [20] Mustonen V(undefined)undefined undefined undefined undefined-undefined
123