Local Hölder continuity for fractional nonlocal equations with general growth

Sun-Sig Byun; Hyojin Kim; Jihoon Ok

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arXiv · 2112.13958

Local Hölder continuity for fractional nonlocal equations with general growth

Sun-Sig Byun·Hyojin Kim·Jihoon Ok

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Abstract

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.

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Sun-Sig Byun, Hyojin Kim, Jihoon Ok. 2021-12-28. Local Hölder continuity for fractional nonlocal equations with general growth. https://arxiv.org/abs/2112.13958

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