Advances in Operator Theory
ESCI-ISI SCOPUS (2016-2023)
2538-225X
2662-2009
Cơ quản chủ quản: Tusi Mathematical Research Group (TMRG) , SPRINGER BASEL AG
Lĩnh vực:
AnalysisAlgebra and Number Theory
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Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
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In this paper, we investigate the existence of weak solution for a fractional type problems driven by a nonlocal operator of elliptic type in a fractional Orlicz–Sobolev space, with homogeneous Dirichlet boundary conditions. We first extend the fractional Sobolev spaces
$$W^{s,p}$$
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Boundedness of dyadic maximal operators on variable Lebesgue spacesAbstract We introduce three types of dyadic maximal operators and prove that under some conditions on the variable exponent $$p(\cdot )$$
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(
·
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$$L_{p(\cdot )}$$
L
p
(
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Tập 5 Số 4 - Trang 1588-1598 - 2020