Local Holder continuity for fractional nonlocal equations with general growth

Byun, Sun-Sig; Kim, Hyojin; Ok, Jihoon

doi:10.1007/s00208-022-02472-y

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Local Holder continuity for fractional nonlocal equations with general growth

Byun, Sun-Sig;
Kim, Hyojin;
Ok, Jihoon

Citations

WEB OF SCIENCE

33

Citations

SCOPUS

34

초록

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

키워드

35R11; 47G20; 35D30; 35B65; REGULARITY THEORY; ELLIPTIC-SYSTEMS; OPERATORS

제목: Local Holder continuity for fractional nonlocal equations with general growth

저자: Byun, Sun-Sig; Kim, Hyojin; Ok, Jihoon

DOI: 10.1007/s00208-022-02472-y

발행일: 2023-10

유형: Article

저널명: Mathematische Annalen

권: 387

호: 1-2

페이지: 807 ~ 846