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On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applicationsChems 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.Source: Fractional Calculus & Applied Analysis. - ISSN 1311-0454 (Vol. 27, iss. 2, Apr. 2024, str. 725-756)Type of material - article, component part ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 186600963
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Author | Chems Eddine, Nabil ; Ragusa, Maria Alessandra ; Repovš, Dušan, 1954- |
Title | On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications |
Publication date | 2024-02-22 |
COBISS.SI-ID | 186600963 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
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Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Biološka koda vozlov - identifikacija vzorcev vozlanja v biomolekulah z uporabo umetne inteligence | N1-0278-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Algebrajski odtisi geometrijskih značilnosti v homologiji | N1-0114-2019 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Forsing, fuzija in kombinatorika odprtih pokritij | N1-0083-2018 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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source: Fractional Calculus & Applied Analysis. - ISSN 1311-0454 (Vol. 27, iss. 2, Apr. 2024, str. 725-756)
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Chems Eddine, Nabil | ![]() |
Ragusa, Maria Alessandra | ![]() |
Repovš, Dušan, 1954- | 07083 |
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