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

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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>.

@article{Brezis1997,
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},
}

TY - JOUR
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 -

References

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  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

Citations in EuDML Documents

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  1. Alexander Fabricant, Nikolai Kutev, Tsviatko Rangelov, Hardy-type inequality with double singular kernels
  2. Bo’az Klartag, Poincaré Inequalities and Moment Maps
  3. Ramil Nasibullin, Hardy and Rellich type inequalities with remainders
  4. Moshe Marcus, Itai Shafrir, An eigenvalue problem related to Hardy’s L P inequality
  5. Lorenzo D’Ambrosio, Hardy-type inequalities related to degenerate elliptic differential operators
  6. Carlos E. Kenig, Frank Merle, On the energy critical focusing non-linear wave equation

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