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

• Byun, Sun-Sig ^[1] ; Kim, Kyeongbae ^[1] ; Kumar, Deepak ^[1]
  1. [1] Seoul National University

     Seoul National University

     Corea del Sur

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 68, Nº. 2, 2024, págs. 507-544
• Idioma: inglés
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• Resumen

  • 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 problemsare 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.