Elliptic equations and rearrangements
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 3 (1976) no. 4, pp. 697-718.
@article{ASNSP_1976_4_3_4_697_0,
     author = {Talenti, Giorgio},
     title = {Elliptic equations and rearrangements},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {697--718},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 3},
     number = {4},
     year = {1976},
     mrnumber = {601601},
     zbl = {0341.35031},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1976_4_3_4_697_0/}
}
TY  - JOUR
AU  - Talenti, Giorgio
TI  - Elliptic equations and rearrangements
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1976
SP  - 697
EP  - 718
VL  - 3
IS  - 4
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_1976_4_3_4_697_0/
LA  - en
ID  - ASNSP_1976_4_3_4_697_0
ER  - 
%0 Journal Article
%A Talenti, Giorgio
%T Elliptic equations and rearrangements
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1976
%P 697-718
%V 3
%N 4
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_1976_4_3_4_697_0/
%G en
%F ASNSP_1976_4_3_4_697_0
Talenti, Giorgio. Elliptic equations and rearrangements. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 3 (1976) no. 4, pp. 697-718. http://archive.numdam.org/item/ASNSP_1976_4_3_4_697_0/

[1] G.A. Bliss, An integral inequality, J. London Math. Soc., 5 (1930). | JFM

[2] H. Federer - W.H. Fleming, Normal and integral currents, Annals of Math., 72 (1960). | MR | Zbl

[3] W. Fleming - R. Rishel, An integral formula for total gradient variation, Arch. Math., 11 (1960). | MR | Zbl

[4] F.W. Gehring, Symmetrization of rings in space, Trans. Amer. Math. Soc., 101 (1961). | MR | Zbl

[5] E. De Giorgi, Su una teoria generale della misura (r -1) dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl., 36 (1954). | MR | Zbl

[6] G.H. Hardy - J.E. Littlewood - G. Polya, Inequalities, Cambridge Univ. Press (1964).

[7] W.K. Hayman, Multivalent functions, Cambridge Univ. Press (1958). | MR | Zbl

[8] O.A. Ladyzenskaja - N.N. Ural'Ceva, Linear and quasilinear equations of elliptic type, Isdat. Nauka, Moscow (1964). | MR | Zbl

[9] C. Miranda, Partial differential equations of elliptic type, Springer Verlag (1970). | MR | Zbl

[10] D.S. Mitrinovic, Analytic inequalities, Springer Verlag (1970). | MR | Zbl

[11] R. O'Neil, Convolution operators and L(p, q) spaces, Duke Math. J., 30 (1963). | Zbl

[12] R. O'Neil, Integral transforms and tensor products on Orlicz spaces and L(p, q) spaces, Journal Analyse Math., 21 (1968). | MR | Zbl

[13] L.E. Payne, Isoperimetric inequalities and their applications, SIAM Review, 9 (1967). | MR | Zbl

[14] L.E. Payne - M.E. Rayner, Some isoperimetric norm bounds for solutions of the Helmotz equation, Z. Angew. Math. Phys., 24 (1973). | MR | Zbl

[15] G. Polya - G. Szegö, Isoperimetric inequalities in Mathematical Physics, Ann. of Math. Stucies, No. 27, Princeton (1951). | MR | Zbl

[16] J. Serrin, Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa, 18 (1964). | Numdam | MR | Zbl

[17] G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier Grenoble, 15 (1965). | Numdam | MR | Zbl

[18] G. Stampacchia, Regularisation des solutions de problèmes aux limites elliptiques à données discontinues, Proceedings of the international Symposium on linear spaces, Jerusalem (1960). | MR | Zbl

[19] S. Sternberg, Lectures on differential geometry, Prentice-Hall, Englewood Cliffs, New Jersey (1964). | MR | Zbl

[20] G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl., to appear. | MR | Zbl

[21] H.F. Weinberger, Symmetrization in uniformly elliptic problems, Studies in Math. Anal., Stanford Univ. Press (1962). | MR | Zbl