Regularity results for a class of nonlocal double phase equations with VMO coefficients
Byun, Sun-Sig (Seoul National University. Department of Mathematical Sciences)
Kim, Kyeongbae (Seoul National University. Department of Mathematical Sciences)
Kumar, Deepak (Seoul National University. Research Institute of Mathematics)

Date:	2024
Abstract:	We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher H¨older 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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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Nonlocal double phase operators ; Self-improving property ; VMO coefficients ; Higher hölder regularity results
Published in:	Publicacions matemàtiques, Vol. 68 Núm. 2 (2024) , p. 507-544 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/430121

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