Elliptic equations and rearrangements

Giorgio Talenti

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)

  • Volume: 3, Issue: 4, page 697-718
  • ISSN: 0391-173X

How to cite

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Talenti, Giorgio. "Elliptic equations and rearrangements." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.4 (1976): 697-718. <http://eudml.org/doc/83735>.

@article{Talenti1976,
author = {Talenti, Giorgio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {697-718},
publisher = {Scuola normale superiore},
title = {Elliptic equations and rearrangements},
url = {http://eudml.org/doc/83735},
volume = {3},
year = {1976},
}

TY - JOUR
AU - Talenti, Giorgio
TI - Elliptic equations and rearrangements
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1976
PB - Scuola normale superiore
VL - 3
IS - 4
SP - 697
EP - 718
LA - eng
UR - http://eudml.org/doc/83735
ER -

References

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  6. [6] G.H. Hardy - J.E. Littlewood - G. Polya, Inequalities, Cambridge Univ. Press (1964). 
  7. [7] W.K. Hayman, Multivalent functions, Cambridge Univ. Press (1958). Zbl0082.06102MR108586
  8. [8] O.A. Ladyzenskaja - N.N. Ural'ceva, Linear and quasilinear equations of elliptic type, Isdat. Nauka, Moscow (1964). Zbl0143.33602MR509265
  9. [9] C. Miranda, Partial differential equations of elliptic type, Springer Verlag (1970). Zbl0198.14101MR284700
  10. [10] D.S. Mitrinovic, Analytic inequalities, Springer Verlag (1970). Zbl0199.38101MR274686
  11. [11] R. O'Neil, Convolution operators and L(p, q) spaces, Duke Math. J., 30 (1963). Zbl0178.47701
  12. [12] R. O'Neil, Integral transforms and tensor products on Orlicz spaces and L(p, q) spaces, Journal Analyse Math., 21 (1968). Zbl0182.16703MR626853
  13. [13] L.E. Payne, Isoperimetric inequalities and their applications, SIAM Review, 9 (1967). Zbl0154.12602MR218975
  14. [14] L.E. Payne - M.E. Rayner, Some isoperimetric norm bounds for solutions of the Helmotz equation, Z. Angew. Math. Phys., 24 (1973). Zbl0256.35023MR324202
  15. [15] G. Polya - G. Szegö, Isoperimetric inequalities in Mathematical Physics, Ann. of Math. Stucies, No. 27, Princeton (1951). Zbl0044.38301MR43486
  16. [16] J. Serrin, Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa, 18 (1964). Zbl0142.37601MR170094
  17. [17] G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. FourierGrenoble, 15 (1965). Zbl0151.15401MR192177
  18. [18] G. Stampacchia, Regularisation des solutions de problèmes aux limites elliptiques à données discontinues, Proceedings of the international Symposium on linear spaces, Jerusalem (1960). Zbl0114.30403MR146512
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Citations in EuDML Documents

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  1. Carla Maderna, Sandro Salsa, Some special properties of solutions to obstacle problems
  2. J. Mossino, J. M. Rakotoson, Isoperimetric inequalities in parabolic equations
  3. S. Kesavan, Some remarks on a result of Talenti
  4. Ester Giarrusso, Diana Nunziante, Comparison theorems for a class of first order Hamilton-Jacobi equations
  5. Angelo Alvino, Guido Trombetti, Equazioni ellittiche con termini di ordine inferiore e riordinamenti
  6. Fabrizio Cuccu, Proprietà qualitative delle soluzioni di alcuni problemi di ottimizzazione
  7. Giuseppina Di Blasio, Equazioni ellittiche e simmetrizzazione rispetto alla misura di Gauss
  8. Angelo Alvino, Formule di maggiorazione e regolarizzazione per soluzioni di equazioni ellittiche del secondo ordine in un caso limite
  9. Guido Trombetti, Juan Luis Vazquez, A symmetrization result for elliptic equations with lower-order terms
  10. Albino Canfora, Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients

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