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Local Hölder continuity for fractional nonlocal equations with general growth

Published 28 Dec 2021 in math.AP | (2112.13958v1)

Abstract: We study generalized fractional $p$-Laplacian equations to prove local boundedness and H\"older continuity of weak solutions to such nonlocal problems by finding a suitable fractional Sobolev-Poincar\'e inquality.

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Authors (3)

  1. Sun-Sig Byun 
  2. Hyojin Kim 
  3. Jihoon Ok 

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