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On a new fractional Sobolev space with variable exponent on complete manifolds
Ahmed Aberqi, Omar Benslimane, Abdesslam Ouaziz, Dušan Repovš
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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)
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