REGULARITY RESULTS FOR A CLASS OF NONLOCAL DOUBLE PHASE EQUATIONS WITH VMO COEFFICIENTS

被引：1
|
作者：
Byun, Sun-Sig [1 ,2 ]
Kim, Kyeongbae [1 ]
Kumar, Deepak [2 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
来源：
PUBLICACIONS MATEMATIQUES | 2024年 / 68卷 / 02期
关键词：
nonlocal double phase operators; self-improving property; VMO coefficients; higher Ho<spacing diaeresis>lder regularity results; ELLIPTIC-EQUATIONS; HOLDER REGULARITY; CONTINUITY;
D O I：
10.5565/PUBLMAT6822407
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a class of nonlocal double phase problems with discontinuous coefficients. A local self -improving property and a higher Ho<spacing diaeresis>lder continuity result for weak solutions to such problems are obtained under the assumptions that the associated coefficient functions are of VMO (vanishing mean oscillation) type and that the principal coefficient depends not only on the variables but also on the solution itself.
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页码：507 / 544
页数：38
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