Best constants in bipolar Lp Hardy-type inequalities

被引：0

作者：

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

Rugina, Teodor ^{[1
,2
]}

机构：

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

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

[3] Romanian Acad, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl M, Bucharest 050711, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 530卷 / 01期

关键词：

Hardy inequality; p-Laplacian; Bipolar singular potential; Sharp constant; MULTIPOLAR; SCHRODINGER; OPERATORS; EQUATIONS;

D O I：

10.1016/j.jmaa.2023.127635

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we prove sharp L-p versions of the multipolar Hardy inequalities in [8,10], in the case of a bipolar potential and p >= 2. Our results are sharp and minimizers do exist in the energy space. New features appear when p > 2 compared to the linear case p = 2 at the level of criticality of the p-Laplacian -Delta(p) perturbed by a singular Hardy bipolar potential. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：17

共 14 条

[1]

Allegretto W, 1998, NONLINEAR ANAL-THEOR, V32, P819

[2]

Balinsky A.A., 2015, The analysis and geometry of Hardy's inequality

[3] A unified approach to improved Lp hardy inequalities with best constants [J].