Hardy inequalities for Robin Laplacians

被引：17

作者：

Kovarik, Hynek ^{[1
]}

Laptev, Ari ^{[2
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[2] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 12期

关键词：

Robin Laplacian; Hardy inequality; GEOMETRICAL VERSION;

D O I：

10.1016/j.jfa.2012.03.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a Hardy inequality for Laplace operators with Robin boundary conditions. For convex domains, in particular, we show explicitly how the corresponding Hardy weight depends on the coefficient of the Robin boundary conditions. We also study several extensions to non-convex and unbounded domains. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：4972 / 4985

页数：14

共 50 条

[21] Mean curvature bounds and eigenvalues of Robin Laplacians
Konstantin Pankrashkin
Nicolas Popoff
[J]. Calculus of Variations and Partial Differential Equations, 2015, 54 : 1947 - 1961
[22] Immanant inequalities for Laplacians of trees
Chan, O
Lam, TK
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 21 (01) : 129 - 144
[23] Spectral asymptotics for Robin Laplacians on polygonal domains
Khalile, Magda
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (02) : 1498 - 1543
[24] Mean curvature bounds and eigenvalues of Robin Laplacians
Pankrashkin, Konstantin
Popoff, Nicolas
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (02) : 1947 - 1961
[25] HARDY INEQUALITIES
WANNEBO, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (01) : 85 - 95
[26] Optimal Hardy Inequality for Fractional Laplacians on the Integers
Matthias Keller
Marius Nietschmann
[J]. Annales Henri Poincaré, 2023, 24 : 2729 - 2741
[27] THE HARDY INEQUALITIES
TAIKOV, LV
[J]. MATHEMATICAL NOTES, 1992, 52 (3-4) : 1063 - 1066
[28] Optimal Hardy Inequality for Fractional Laplacians on the Integers
Keller, Matthias
Nietschmann, Marius
[J]. ANNALES HENRI POINCARE, 2023, 24 (08): : 2729 - 2741
[29] SHARP TRACE INEQUALITIES FOR FRACTIONAL LAPLACIANS
Einav, Amit
Loss, Michael
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (12) : 4209 - 4216
[30] Laplacians of graphs and Cheeger's inequalities
Chung, FRK
[J]. COMBINATORICS, PAUL ERDOS IS EIGHTY, VOL. 2, 1996, 2 : 157 - 172

← 1 2 3 4 5 →