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

被引：0

作者：

Berghout, Mohamed ^{[1
]}

机构：

[1] Ibn Tofail Univ, Higher Sch Educ & Training, Lab Partial Differential Equat Algebra & Spectral, Kenitra 14000, Kenitra, Morocco

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2023年 / 9卷 / 01期

关键词：

Fractional Sobolev spaces with variable exponents; Trace spaces; Relative capacity; Quasi-continuity; Removable sets; Dirichlet problem; DIFFUSION;

D O I：

10.1007/s41808-023-00213-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：565 / 594

页数：30

共 28 条

[1]

[Anonymous], 2005, Fract. Calc. Appl. Anal

[2]

[Anonymous], 2009, SeMA J. Boletn Soc. Espa Nola Matemtica Apl

[3]

Attouch H., 2014, MOS-SIAM SER OPTIMIZ, V17

[4]

Baalal A., 2018, INT J MATH ANAL, V12, P85, DOI [10.12988/ijma.2018.815, DOI 10.12988/IJMA.2018.815]