Harnack inequality for the nonlocal equations with general growth

DOI10.1017/prm.2022.55zbMath1523.35281arXiv2201.09495OpenAlexW4292707600MaRDI QIDQ6052816

Yuzhou Fang, Chao Zhang

Publication date: 25 September 2023

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09495

zbMATH Keywords

Harnack inequalitynonlocal equationsexpansion of positivitygeneral growthfractional Orlicz-Sobolev space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (2)

Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth ⋮ A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth

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