@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}, zbl = {0341.35031}, mrnumber = {601601}, language = {en}, url = {www.numdam.org/item/ASNSP_1976_4_3_4_697_0/} }
Talenti, Giorgio. Elliptic equations and rearrangements. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 3 (1976) no. 4, pp. 697-718. http://www.numdam.org/item/ASNSP_1976_4_3_4_697_0/
[1] An integral inequality, J. London Math. Soc., 5 (1930). | JFM 56.0434.02
,[2] Normal and integral currents, Annals of Math., 72 (1960). | MR 123260 | Zbl 0187.31301
- ,[3] An integral formula for total gradient variation, Arch. Math., 11 (1960). | MR 114892 | Zbl 0094.26301
- ,[4] Symmetrization of rings in space, Trans. Amer. Math. Soc., 101 (1961). | MR 132841 | Zbl 0104.30002
,[5] Su una teoria generale della misura (r -1) dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl., 36 (1954). | MR 62214 | Zbl 0055.28504
,[6] Inequalities, Cambridge Univ. Press (1964).
- - ,[7] Multivalent functions, Cambridge Univ. Press (1958). | MR 108586 | Zbl 0082.06102
,[8] Linear and quasilinear equations of elliptic type, Isdat. Nauka, Moscow (1964). | MR 509265 | Zbl 0143.33602
- ,[9] Partial differential equations of elliptic type, Springer Verlag (1970). | MR 284700 | Zbl 0198.14101
,[10] Analytic inequalities, Springer Verlag (1970). | MR 274686 | Zbl 0199.38101
,[11] Convolution operators and L(p, q) spaces, Duke Math. J., 30 (1963). | Zbl 0178.47701
,[12] Integral transforms and tensor products on Orlicz spaces and L(p, q) spaces, Journal Analyse Math., 21 (1968). | MR 626853 | Zbl 0182.16703
,[13] Isoperimetric inequalities and their applications, SIAM Review, 9 (1967). | MR 218975 | Zbl 0154.12602
,[14] Some isoperimetric norm bounds for solutions of the Helmotz equation, Z. Angew. Math. Phys., 24 (1973). | MR 324202 | Zbl 0256.35023
- ,[15] Isoperimetric inequalities in Mathematical Physics, Ann. of Math. Stucies, No. 27, Princeton (1951). | MR 43486 | Zbl 0044.38301
- ,[16] Pathological solutions of elliptic differential equations, Ann. Scuola Norm. Sup. Pisa, 18 (1964). | Numdam | MR 170094 | Zbl 0142.37601
,[17] Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier Grenoble, 15 (1965). | Numdam | MR 192177 | Zbl 0151.15401
,[18] Regularisation des solutions de problèmes aux limites elliptiques à données discontinues, Proceedings of the international Symposium on linear spaces, Jerusalem (1960). | MR 146512 | Zbl 0114.30403
,[19] Lectures on differential geometry, Prentice-Hall, Englewood Cliffs, New Jersey (1964). | MR 193578 | Zbl 0129.13102
,[20] Best constant in Sobolev inequality, Ann. Mat. Pura Appl., to appear. | MR 463908 | Zbl 0353.46018
,[21] Symmetrization in uniformly elliptic problems, Studies in Math. Anal., Stanford Univ. Press (1962). | MR 145191 | Zbl 0123.07202
,