Fractional Sobolev spaces with kernel function on compact Riemannian manifolds

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Fractional Sobolev spaces with kernel function on compact Riemannian manifolds

Aberqi, Ahmed ; Ouaziz, Abdesslam ; Repovš, Dušan, 1954-

In this paper, a new class of Sobolev spaces with kernel function satisfying a Lévy-integrability-type condition on compact Riemannian manifolds is presented. We establish the properties of ... separability, reflexivity, and completeness. An embedding result is also proved. As an application, we prove the existence of solutions for a nonlocal elliptic problem involving the fractional ▫$p(\cdot, \cdot)$▫-Laplacian operator. As one of the main tools, topological degree theory is applied.

Source: Mediterranean journal of mathematics. - ISSN 1660-5446 (Vol. 21, iss. 1, article no. 6, Jan. 2024, 24 str.)

Type of material - article, component part ; adult, serious

Publish date - 2024

Language - english

COBISS.SI-ID - 173366275

Link(s):
https://link.springer.com/article/10.1007/s00009-023-02517-9
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Aberqi, Ahmed | Ouaziz, Abdesslam | Repovš, Dušan, 1954-

Author	Aberqi, Ahmed ; Ouaziz, Abdesslam ; Repovš, Dušan, 1954-
Title	Fractional Sobolev spaces with kernel function on compact Riemannian manifolds
Publication date	2023-11-21
COBISS.SI-ID	173366275
Publication version in repository	Publisher's version
Publication licence	Creative Commons Attribution 4.0 International
Embargo	Immediate publication for public

Project(s) from which the publication was funded

Title	Project ID	Funder
Topologija in njena uporaba	P1-0292-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Računalniška knjižnica za zavozlane strukture in aplikacije	J1-4031-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Izbrani problemi iz uporabne in računske topologije	J1-4001-2022	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Biološka koda vozlov - identifikacija vzorcev vozlanja v biomolekulah z uporabo umetne inteligence	N1-0278-2023	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Algebrajski odtisi geometrijskih značilnosti v homologiji	N1-0114-2019	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
Forsing, fuzija in kombinatorika odprtih pokritij	N1-0083-2018	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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Link
https://link.springer.com/article/10.1007/s00009-023-02517-9
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=152540
https://dirros.openscience.si/IzpisGradiva.php?id=18204

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source: Mediterranean journal of mathematics. - ISSN 1660-5446 (Vol. 21, iss. 1, article no. 6, Jan. 2024, 24 str.)

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Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Aberqi, Ahmed
Ouaziz, Abdesslam
Repovš, Dušan, 1954-	07083

Source: Personal bibliographies and: SICRIS

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