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Shape sensitivity analysis of the Hardy constant

  • Published:2014-07 Issue: Volume:103 Page:98-112
  • ISSN:0362-546X
  • Container-title:Nonlinear Analysis: Theory, Methods & Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Barbatis GerassimosORCID,Lamberti Pier Domenico

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference27 articles.

1. The Hardy Inequality: About its History and Some Related Results;Kufner,2007

2. On the best constant for Hardy’s inequality in Rn;Marcus;Trans. Amer. Math. Soc.,1998

3. An eigenvalue problem related to Hardy’s Lp inequality;Marcus;Ann. Sc. Norm. Super Pisa Cl. Sci.,2000

4. Hardy’s inequalities revisited, Dedicated to Ennio De Giorgi;Brezis;Ann. Sc. Norm. Super Pisa Cl. Sci.,1997

5. A unified approach to improved Lp Hardy inequalities with best constants;Barbatis;Trans. Amer. Math. Soc.,2004

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1. Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-02-22

2. EIGENVALUES OF THE FINSLER p ‐LAPLACIAN ON VARYING DOMAINS;Mathematika;2020-05-07

3. $L^p$ Hardy inequality on $C^{1,\gamma}$ domains;ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE;2019-09-16

4. Optimal Hardy inequalities in cones;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2016-11-04

5. Monotonicity, continuity and differentiability results for the L p Hardy constant;Israel Journal of Mathematics;2016-09
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