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

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

Povzetek

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.

Ključne besede

fractional ▫$p(z, \cdot)$▫-Laplacian;existence of solutions;fractional Sobolev space with variable exponent on complete manifolds;variational method;

Podatki

Jezik:	Angleški jezik
Leto izida:	2022
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956
COBISS:	96892419
ISSN:	1687-2770
Št. ogledov:	336
Št. prenosov:	87
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	art. 7 (20 str.)
Zvezek:	ǂVol. ǂ2022
Čas izdaje:	2022
DOI:	10.1186/s13661-022-01590-5
ID:	14673450