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
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 50 条
  • [41] Composition operators in Orlicz–Sobolev spaces
    A. V. Menovshchikov
    Siberian Mathematical Journal, 2016, 57 : 849 - 859
  • [42] On fractional Orlicz-Sobolev spaces
    Alberico, Angela
    Cianchi, Andrea
    Pick, Lubos
    Slavikova, Lenka
    ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (02)
  • [43] On Orlicz–Sobolev Classes on Quotient Spaces
    Sevost’yanov E.A.
    Siberian Advances in Mathematics, 2021, 31 (3) : 209 - 228
  • [44] Sobolev inequalities for Musielak–Orlicz spaces
    Yoshihiro Mizuta
    Takao Ohno
    Tetsu Shimomura
    manuscripta mathematica, 2018, 155 : 209 - 227
  • [45] ON PRODUCTS OF SOBOLEV-ORLICZ SPACES
    APPELL, J
    HARDY, G
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 42 (03) : 427 - 436
  • [46] Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces
    Zhai, Zhichun
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) : 2611 - 2630
  • [47] SCALE OF INTERMEDIATE SPACES BETWEEN SOBOLEV-ORLICZ SPACES - OPERATOR OF VARIATIONAL CALCULUS IN SOBOLEV-ORLICZ SPACES WITH WEIGHT
    LACROIX, MT
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 282 (17): : 991 - 994
  • [48] Eigenvalue problems associated with nonhomogeneous differential operators in Orlicz-Sobolev spaces
    Mihailescu, Mihai
    Radulescu, Vicentiu
    ANALYSIS AND APPLICATIONS, 2008, 6 (01) : 83 - 98
  • [49] The limiting Behavior of Solutions to Inhomogeneous Eigenvalue Problems in Orlicz-Sobolev Spaces
    Bocea, Marian
    Mihailescu, Mihai
    Stancu-Dumitru, Denisa
    ADVANCED NONLINEAR STUDIES, 2014, 14 (04) : 977 - 990
  • [50] QUASILINEAR ELLIPTIC PROBLEMS ON NON-REFLEXIVE ORLICZ-SOBOLEV SPACES
    Silva, Edcarlos D.
    Carvalho, Marcos L. M.
    Silva, Kaye
    Goncalves, Jose, V
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 54 (02) : 587 - 612