Regularity results for a class of nonlocal double phase equations with VMO coefficients

Main Article Content

Sun-Sig Byun
Kyeongbae Kim
Deepak Kumar

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.

Paraules clau
Nonlocal double phase operators, Self-improving property, VMO coefficients, Higher Hölder regularity results

Article Details

Com citar
Byun, Sun-Sig et al. “Regularity results for a class of nonlocal double phase equations with VMO coefficients”. Publicacions Matemàtiques, vol.VOL 68, no. 2, pp. 507-44, https://raco.cat/index.php/PublicacionsMatematiques/article/view/430121.
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