Local Hölder continuity for fractional nonlocal equations with general growth

By Sun-Sig Byun, Hyojin Kim, Jihoon Ok. Mathematische Annalen, 2021

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We study generalized fractional p-Laplacian equations to prove local boundedness and Hölder continuity of weak solutions to such nonlocal problems by finding a suitable fractional Sobolev-Poincaré inquality.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/8743774836f2d4cadb4d28a6989ef66852e982e2