Comparison results for solutions of elliptic problems via symmetrization
Annales de l'I.H.P. Analyse non linéaire, Tome 16 (1999) no. 2, pp. 167-188.
@article{AIHPC_1999__16_2_167_0,
     author = {Alvino, Angelo and Trombetti, Guido and Lions, Pierre-Louis and Matarasso, Silvano},
     title = {Comparison results for solutions of elliptic problems via symmetrization},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {167--188},
     publisher = {Gauthier-Villars},
     volume = {16},
     number = {2},
     year = {1999},
     mrnumber = {1674768},
     zbl = {0924.35038},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1999__16_2_167_0/}
}
TY  - JOUR
AU  - Alvino, Angelo
AU  - Trombetti, Guido
AU  - Lions, Pierre-Louis
AU  - Matarasso, Silvano
TI  - Comparison results for solutions of elliptic problems via symmetrization
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1999
SP  - 167
EP  - 188
VL  - 16
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1999__16_2_167_0/
LA  - en
ID  - AIHPC_1999__16_2_167_0
ER  - 
%0 Journal Article
%A Alvino, Angelo
%A Trombetti, Guido
%A Lions, Pierre-Louis
%A Matarasso, Silvano
%T Comparison results for solutions of elliptic problems via symmetrization
%J Annales de l'I.H.P. Analyse non linéaire
%D 1999
%P 167-188
%V 16
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1999__16_2_167_0/
%G en
%F AIHPC_1999__16_2_167_0
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis; Matarasso, Silvano. Comparison results for solutions of elliptic problems via symmetrization. Annales de l'I.H.P. Analyse non linéaire, Tome 16 (1999) no. 2, pp. 167-188. http://www.numdam.org/item/AIHPC_1999__16_2_167_0/

[1] A. Alvino, P.-L. Lions and G. Trombetti, On optimization problems with prescribed rearrangements, Nonlin. An. TMA, Vol. 13, 1989, pp. 185-220. | MR | Zbl

[2] A. Alvino, P.-L. Lions and G. Trombetti, Comparison results for elliptic and parabolic equations via Schwarz symmetrization, Ann. I.H.P. An. Non Lin., Vol. 7, 1990, pp. 37-65. | EuDML | Numdam | MR | Zbl

[3] A. Alvino, P.-L. Lions and G. Trombetti, Comparison results for elliptic and parabolic equations via symmetrization: a new approach, Diff. and Int. Eq., Vol. 4, 1991, pp. 25-50. | MR | Zbl

[4] A. Alvino and G. Trombetti, Equazioni ellittiche con termini di ordine inferiore e riordinamenti, Atti Acc. Naz. Lincei Rend. Fis., s.8, Vol. 66, 1979, pp. 194-200. | MR | Zbl

[5] A. Alvino, S. Matarasso and G. Trombetti, Variational inequalities and rearrangements, Rend. Mat. Acc. Lincei, s.9, Vol. 3, 1992, pp. 271-285. | EuDML | MR | Zbl

[6] C. Bandle, Isoperimetric inequalities and applications, Monographs and Studies in Math., Pitman, London, 1980. | MR | Zbl

[7] C. Bandle and J. Mossino, Rearrangements in variational inequalities, Ann. Mat. Pura e Appl., Vol. 138, 1984, pp. 1-14. | MR | Zbl

[8] G. Chiti, Norme di Orlicz delle soluzioni di una classe di equazioni ellittiche, Boll. U.M.I., Vol. 16-A, 1978, pp. 179-185 | Zbl

[9] E.. De Giorgi, Su una teoria generale della misura r - 1-dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura e Appl., Vol. 36, 1954, pp. 191-213. | MR | Zbl

[10] G.H. Hardy, J.E. Littlewood and G. Polya, Inequalities, Cambridge, Univ. Press, 1964.

[11] P.-L. Lions, A remark on some elliptic second order problems, Boll. U.M.I., (5) Vol. 17-A, 1980, pp. 267-270. | MR | Zbl

[12] P.-L. Lions, Non linear partial differential equations and their appl., College de France, Semin., 1, Pitman, London, 1980, pp. 308-319. | Zbl

[13] C. Maderna and S. Salsa, Some special properties of solutions to obstacle problem, Rend. Sem. Mat. Un. Padova, Vol. 71, 1984, pp. 121-129. | Numdam | MR | Zbl

[14] G. Talenti, Elliptic equations and rearrangements, Ann. Sc. Norm. Sup. Pisa, Vol. 3, 1976, pp. 697-718. | Numdam | MR | Zbl

[15] G. Talenti, Linear elliptic P.D.E.'s: level sets, rearrangements and a priori estimates of solutions, Boll. UMI, 4-B, 1985, pp. 917-949. | MR | Zbl