Local H\"older regularity for nonlocal equations with variable powers

DOI10.1007/S00526-022-02353-XarXiv2107.06611WikidataQ115385849 ScholiaQ115385849MaRDI QIDQ6372774

Publication date: 14 July 2021

Abstract: We prove the local boundedness and the local H"older continuity of weak solutions to nonlocal equations with variable orders and exponents under sharp assumptions.

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

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