On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter

被引：4

作者：

Kachmar, Ayman ^{[1
,2
]}

Lotoreichik, Vladimir ^{[3
]}

机构：

[1] Lebanese Univ, Dept Math, Nabatiye, Lebanon

[2] Amer Univ Beirut, Ctr Adv Math Sci CAMS, Beirut, Lebanon

[3] Czech Acad Sci, Nucl Phys Inst, Dept Theoret Phys, Rez 25068, Czech Republic

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 06期

关键词：

Magnetic Robin Laplacian; Homogeneous magnetic field; Lowest eigenvalue; Isoperimetric inequality; Parallel coordinates; Centrally symmetric domain; PRINCIPAL EIGENVALUE; ASYMPTOTICS; NEUMANN;

D O I：

10.1007/s12220-022-00917-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the magnetic Robin Laplacian with a negative boundary parameter on a bounded, planar C-2-smooth domain. The respective magnetic field is homogeneous. Among a certain class of domains, we prove that the disk maximises the ground-state energy under the fixed perimeter constraint provided that the magnetic field is of moderate strength. This class of domains includes, in particular, all domains that are contained upon translations in the disk of the same perimeter and all centrally symmetric domains.

引用

页数：20

共 50 条

[1] On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter
Ayman Kachmar
Vladimir Lotoreichik
[J]. The Journal of Geometric Analysis, 2022, 32
[2] Correction to: On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter
Ayman Kachmar
Vladimir Lotoreichik
[J]. The Journal of Geometric Analysis, 2022, 32
[3] On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter (vol 32, 182, 2022)
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Lotoreichik, Vladimir
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (09)
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