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has been cited by the following article:

• TITLE: Existence of T-ν-p(x)-Solution of a Nonhomogeneous Elliptic Problem with Right Hand Side Measure

  AUTHORS: El Houcine Rami, Abdelkrim Barbara, El Houssine Azroul

  KEYWORDS: Nonhomogeneous Elliptic Equations, Dirichlet Problems, Weighted Sobolev Spaces with Variable Exponent, Minty’s Lemma, T-ν-p(x)-Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.11, November 15, 2021

  ABSTRACT: Using the theory of weighted Sobolev spaces with variable exponent and the L1-version on Minty’s lemma, we investigate the existence of solutions for some nonhomogeneous Dirichlet problems generated by the Leray-Lions operator of divergence form, with right-hand side measure. Among the interest of this article is the given of a very important approach to ensure the existence of a weak solution of this type of problem and of generalization to a system with the minimum of conditions.