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Št. zadetkov: 2
Fractional Sobolev spaces with kernel function on compact Riemannian manifolds
Ahmed Aberqi, Abdesslam Ouaziz, Dušan Repovš
Izvirni znanstveni članek
Oznake: nonlinear elliptic problem;fractional Sobolev spaces;kernel function;Lévy-integrability condition;compact Riemannian manifolds;existence of solutions;topological degree theory;
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 t ...
Leto: 2024 Vir: Pedagoška fakulteta (UL PEF)
On a new fractional Sobolev space with variable exponent on complete manifolds
Ahmed Aberqi, Omar Benslimane, Abdesslam Ouaziz, Dušan Repovš
Izvirni znanstveni članek
Oznake: fractional ▫$p(z, \cdot)$▫-Laplacian;existence of solutions;fractional Sobolev space with variable exponent on complete manifolds;variational method;
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 a ...
Leto: 2022 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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