Hardy's inequalities revisited

Haïm Brezis; Moshe Marcus

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 1-2, page 217-237
  • ISSN: 0391-173X

How to cite


Brezis, Haïm, and Marcus, Moshe. "Hardy's inequalities revisited." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.1-2 (1997): 217-237. <http://eudml.org/doc/84286>.

author = {Brezis, Haïm, Marcus, Moshe},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Hardy's inequality; Sobolev space},
language = {eng},
number = {1-2},
pages = {217-237},
publisher = {Scuola normale superiore},
title = {Hardy's inequalities revisited},
url = {http://eudml.org/doc/84286},
volume = {25},
year = {1997},

AU - Brezis, Haïm
AU - Marcus, Moshe
TI - Hardy's inequalities revisited
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 1-2
SP - 217
EP - 237
LA - eng
KW - Hardy's inequality; Sobolev space
UR - http://eudml.org/doc/84286
ER -


  1. [1]] H. Brezis - L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math.36 (1983), 437-477. Zbl0541.35029MR709644
  2. [2] E.B. Davies, The Hardy constant, Quart. J. Math. Oxford (2) 46 (1995), 417-431. Zbl0857.26005MR1366614
  3. [3] G.H. Hardy, Note on a Theorem of Hilbert, Math. Zeit.6 (1920), 314-317. Zbl47.0207.01MR1544414JFM47.0207.01
  4. [4] G.H. Hardy, An inequality between integrals, Messenger of Math.54 (1925), 150-156. 
  5. [5] M. Marcus - V.J. Mizel - Y. Pinchover, On the best constant for Hardy's inequality in IRn, to appear in Trans. A.M.S. Zbl0917.26016
  6. [6] T. Matskewich - P.E. Sobolevskii, The best possible constant in a generalized Hardy's inequality for convex domains in Rn, in "Proc. Conf. on Elliptic and Parabolic P. D. E's and Applications", Capri, 1994, to appear. 
  7. [7] B. Opic - A. Kufner, "Hardy-type Inequalities", Pitman Research Notes in Math., Vol. 219, Longman, 1990. Zbl0698.26007MR1069756

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