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Inventi Impact: Computational Mathematics

Articles

  • Inventi:ecm/44651/22
    Existence of T-ν-p(x)-Solution of a Nonhomogeneous Elliptic Problem with Right Hand Side Measure
    01-Apr-2022 Research 2022 : April-June
    El Houcine Rami, Abdelkrim Barbara, El Houssine Azroul

    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.

    How to Cite this Article
    Attribution/ CC Compliant Citation: Barbara, Abdelkrim, and El Houssine Azroul. "Existence of T-ν-p (x)-Solution of a Nonhomogeneous Elliptic Problem with Right Hand Side Measure." Journal of Applied Mathematics and Physics 9.11 (2021): 2717-2732. https://doi.org/10.3390/math10010012 http://creativecommons.org/licenses/by/4.0/ Some formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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