Local Holder regularity for nonlocal equations with variable powers

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초록

We prove the local boundedness and local Holder continuity of weak solutions to nonlocal equations with variable orders and exponents under sharp assumptions.

키워드

Primary 35R1135B65Secondary 35D3047G20FRACTIONAL SOBOLEV SPACESELLIPTIC-EQUATIONSOPERATORSMULTIPLICITYCONTINUITYORDERBOUNDARYGRADIENT
제목
Local Holder regularity for nonlocal equations with variable powers
저자
Ok, Jihoon
DOI
10.1007/s00526-022-02353-x
발행일
2023-01
유형
Article
저널명
Calculus of Variations and Partial Differential Equations
62
1