Fractional variable exponents Sobolev trace spaces and Dirichlet problem for the regional fractional p(.) -Laplacian

被引：0
|
作者：
Mohamed Berghout
机构：
[1] Ibn Tofail University,Laboratory of Partial Differential Equations, Algebra and Spectral Geometry, Higher School of Education and Training
来源：
Journal of Elliptic and Parabolic Equations | 2023年 / 9卷
关键词：
Fractional Sobolev spaces with variable exponents; Trace spaces; Relative capacity; Quasi-continuity; Removable sets; Dirichlet problem; 46E35; 31C45; 31C15;
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学科分类号：
摘要：
In this paper we give a finer analysis of fractional variable exponents Sobolev spaces. We use the relative capacity to characterize completely the zero trace fractional variable exponents Sobolev spaces. We also give a relative capacity criterium for removable sets. As an application we study the Dirichlet problem for the regional fractional p(.)-Laplacian.
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页码：565 / 594
页数：29
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