20.500.12556/RUL-135275 On a new fractional Sobolev space with variable exponent on complete manifolds 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. fractional ▫$p(z \cdot)$▫-Laplacian existence of solutions fractional Sobolev space with variable exponent on complete manifolds variational method true false true Angleški jezik Ni določen Članek v reviji 2022-03-04 08:47:29 2022-03-04 08:47:32 2023-05-31 16:05:43 0000-00-00 00:00:00 2022 0 0 20 str. art. 7 Vol. 2022 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 1687-2770 10.1186/s13661-022-01590-5 96892419 RAZ_Aberqi_Ahmed_2022.pdf RAZ_Aberqi_Ahmed_2022.pdf 1 5CDB7C0F8B1ACB354D2A9FD01FF7A998 2a508d334a5a0df207cc6566fe4439c5bc28e60741b83af5dd7383d8bf937ccc a65bcfab-9b8f-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=154246 https://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-022-01590-5 1 13fa7876-9b8f-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=154244 Fakulteta za matematiko in fiziko 0 0 0