Nonlocal Harnack inequalities for nonlocal Schrödinger operators with A1-Muckenhoupt potentials

In this paper, by applying the De Giorgi-Nash-Moser theory we obtain nonlocal Harnack inequalities for (locally nonnegative in Ω) weak solutions of the nonlocal Schrödinger equations{LKu+Vu=0 in Ω,u=g in Rn∖Ω where V=V+−V− with V−∈Lloc1(Rn) and V+∈Llocq(Rn) (q>n2s>1, 01, 0

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical analysis and applications 2022-03, Vol.507 (1), p.125746, Article 125746
1. Verfasser:	Kim, Yong-Cheol
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-Muckenhoupt potentials De Giorgi-Nash-Moser theory Nonlocal Harnack inequalities Nonlocal Schrödinger operators
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, by applying the De Giorgi-Nash-Moser theory we obtain nonlocal Harnack inequalities for (locally nonnegative in Ω) weak solutions of the nonlocal Schrödinger equations{LKu+Vu=0 in Ω,u=g in Rn∖Ω where V=V+−V− with V−∈Lloc1(Rn) and V+∈Llocq(Rn) (q>n2s>1, 01, 0
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2021.125746