Young measure theory for unsteady problems in Orlicz–Sobolev spaces

  • Elhoussine Azroul
  • Farah BalaadichEmail author


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.


Quasilinear parabolic systems Orlicz spaces Weak solutions Young measures 

Mathematics Subject Classification

35K59 35Q30 46E30 



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© Springer-Verlag Italia S.r.l., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsFaculty of Sciences Dhar El MehrazFezMorocco

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