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  • On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
    Chems Eddine, Nabil ; Ragusa, Maria Alessandra ; Repovš, Dušan, 1954-
    We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find ... infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters. With the groundwork laid in this work, there is potential for future extensions, particularly in extending the concentration-compactness principle to anisotropic fractional order Sobolev spaces with variable exponents in bounded domains. This extension could find applications in solving the generalized fractional Brezis–Nirenberg problem.
    Vir: Fractional Calculus & Applied Analysis. - ISSN 1311-0454 (Vol. 27, iss. 2, Apr. 2024, str. 725-756)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2024
    Jezik - angleški
    COBISS.SI-ID - 186600963

    Povezava(-e):

    https://link.springer.com/article/10.1007/s13540-024-00246-8
    Repozitorij Univerze v Ljubljani – RUL
    DiRROS - Digitalni repozitorij raziskovalnih organizacij Slovenije
    DOI

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