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fractional orlicz–sobolev space

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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Harnack inequality for the nonlocal equations with general growth
Part of
Yuzhou Fang, Chao Zhang
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 5 / October 2023

Published online by Cambridge University Press:

23 August 2022, pp. 1479-1502

Print publication:

October 2023
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We consider a class of generalized nonlocal $p$-Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solutions to such nonlocal problems by using the expansion of positivity and energy estimates.