Hardy inequalities for magnetic p-Laplacians

被引：0

作者：

Cazacu, Cristian ^{[1
,2
,3
]}

Krejcirik, David ^{[4
]}

Lam, Nguyen ^{[5
]}

Laptev, Ari ^{[6
,7
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, 14 Acad St, Bucharest 010014, Romania

[2] Univ Bucharest, ICUB Res Inst, 14 Acad St, Bucharest 010014, Romania

[3] Romanian Acad, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl, 13 Calea 13 Septembrie,Sect 5, Bucharest 050711, Romania

[4] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000, Czech Republic

[5] Mem Univ Newfoundland, Sch Sci & Environm, Grenfell Campus, Corner Brook, NF A2H 5G4, Canada

[6] Imperial Coll London, Dept Math, Huxley Bldg,180 Queens Gate, London SW7 2AZ, England

[7] Sirius Univ Sci & Technol, Sirius Math Ctr, 1 Olymp Ave, Soci 354340, Russia

来源：

NONLINEARITY | 2024年 / 37卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

L-p Hardy inequalities; magnetic fields; optimal constants; OPERATOR;

D O I：

10.1088/1361-6544/ad1aee

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish improved Hardy inequalities for the magnetic p-Laplacian due to adding nontrivial magnetic fields. We also prove that for Aharonov-Bohm magnetic fields the sharp constant in the Hardy inequality becomes strictly larger than in the case of a magnetic-free p-Laplacian. We also post some remarks with open problems.

引用

页数：27

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