On a new fractional Sobolev space with variable exponent on complete manifolds

Aberqi, Ahmed (avtor), Benslimane, Omar (avtor), Ouaziz, Abdesslam (avtor), Repovš, Dušan (avtor)

We present the theory of a new fractional Sobolev space in complete manifolds with variable exponent. As a result, we investigate some of our new space’s qualitative properties, such as completeness, reflexivity, separability, and density. We also show that continuous and compact embedding results are valid. We apply the conclusions of this study to the variational analysis of a class of fractional $p(z, \cdot)$-Laplacian problems involving potentials with vanishing behavior at infinity as an application.

• Jezik: Angleški jezik
• Ključne besede: fractional ▫$p(z, \cdot)$▫-Laplacian, existence of solutions, fractional Sobolev space with variable exponent on complete manifolds, variational method
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2022
• Št. strani: 20 str.
• Številčenje: Vol. 2022, art. 7
• PID: 20.500.12556/RUL-135275
• UDK: 517.956
• ISSN pri članku: 1687-2770
• DOI: 10.1186/s13661-022-01590-5
• COBISS.SI-ID: 96892419
• Datum objave v RUL: 04.03.2022

Gradivo je del revije

• Naslov: Boundary value problems
• Skrajšan naslov: Bound. value probl.
• Založnik: Springer
• ISSN: 1687-2770
• COBISS.SI-ID: 62113025

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.