Some remarks on a result of Talenti

S. Kesavan

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1988)

  • Volume: 15, Issue: 3, page 453-465
  • ISSN: 0391-173X

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Kesavan, S.. "Some remarks on a result of Talenti." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.3 (1988): 453-465. <http://eudml.org/doc/84037>.

@article{Kesavan1988,
author = {Kesavan, S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {isoperimetric inequalities; Schwarz-symmetrization},
language = {eng},
number = {3},
pages = {453-465},
publisher = {Scuola normale superiore},
title = {Some remarks on a result of Talenti},
url = {http://eudml.org/doc/84037},
volume = {15},
year = {1988},
}

TY - JOUR
AU - Kesavan, S.
TI - Some remarks on a result of Talenti
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1988
PB - Scuola normale superiore
VL - 15
IS - 3
SP - 453
EP - 465
LA - eng
KW - isoperimetric inequalities; Schwarz-symmetrization
UR - http://eudml.org/doc/84037
ER -

References

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  1. [1] M. Aizenman - B. Simon, Brownian Motion and Harnack inequality for Schrödinger operators, Comm. Pure Appl. Math., Vol. XXXV, 1982, pp. 209-273. Zbl0459.60069MR644024
  2. [2] A. Alvino - P.L. Lions - G. Trombetti, A remark on comparison results via symmetrization, Proc. Roy. Soc. Edin., 102A, 1986, pp. 37-48. Zbl0597.35005MR837159
  3. [3] E. De Giorgi, Su una teoria generale della misura (r - 1)-dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl., 36, 1954. Zbl0055.28504MR62214
  4. [4] G.H. Hardy - J.E. Littlewood - G. Polya, Inequalities, 2nd edition, Cambridge University Press, 1952. Zbl0047.05302MR46395
  5. [5] M. Kac, 'Can one hear the shape of a drum?', Amer. Math. Monthly, Vol. 73, 1966, pp. 1-23. Zbl0139.05603MR201237
  6. [6] P.L. Lions, Quelques remarques sur la symétrisation de Schwartz, Nonlinear Partial Differential Equations and their Applications, Collège de France Seminar, Vol. 1, Pitman Research Notes in Mathematics, No. 53, Ed. H. Brezis and J.L. Lions, 1981, pp. 308-319. Zbl0467.35008MR631400
  7. [7] J. Mossino, Inégalités Isopérimétriques et Applications en Physique, Hermann, Paris, 1984. Zbl0537.35002MR733257
  8. [8] G. Polya - G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Princeton University Press, 1951. Zbl0044.38301MR43486
  9. [9] M.H. Protter, 'Can one hear the shape of a drum? Revisited ' , SIAM Review, Vol. 29, No. 2, 1987, pp. 185-195. Zbl0645.35074MR889243
  10. [10] G. Talenti, Elliptic equations and rearrangements, Ann. Scuola Norm. Pisa, Vol. 4, No. 3, 1976, pp. 697-718. Zbl0341.35031MR601601

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