Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Annales de l'I.H.P. Analyse non linéaire, Tome 7 (1990) no. 2, pp. 37-65. 
@article{AIHPC_1990__7_2_37_0,
     author = {Alvino, A. and Trombetti, G. and Lions, P.-L.},
     title = {Comparison results for elliptic and parabolic equations via {Schwarz} symmetrization},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {37--65},
     publisher = {Gauthier-Villars},
     volume = {7},
     number = {2},
     year = {1990},
     mrnumber = {1051227},
     zbl = {0703.35007},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1990__7_2_37_0/}
}
TY  - JOUR
AU  - Alvino, A.
AU  - Trombetti, G.
AU  - Lions, P.-L.
TI  - Comparison results for elliptic and parabolic equations via Schwarz symmetrization
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1990
SP  - 37
EP  - 65
VL  - 7
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1990__7_2_37_0/
LA  - en
ID  - AIHPC_1990__7_2_37_0
ER  - 
%0 Journal Article
%A Alvino, A.
%A Trombetti, G.
%A Lions, P.-L.
%T Comparison results for elliptic and parabolic equations via Schwarz symmetrization
%J Annales de l'I.H.P. Analyse non linéaire
%D 1990
%P 37-65
%V 7
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1990__7_2_37_0/
%G en
%F AIHPC_1990__7_2_37_0
Alvino, A.; Trombetti, G.; Lions, P.-L. Comparison results for elliptic and parabolic equations via Schwarz symmetrization. Annales de l'I.H.P. Analyse non linéaire, Tome 7 (1990) no. 2, pp. 37-65. http://www.numdam.org/item/AIHPC_1990__7_2_37_0/

[1] A. Alvino, P.-L. Lions and G. Trombetti, C.R. Acad. Sci. Paris, T. 303, 1986.

[2] A. Alvino, P.-L. Lions and G. Trombetti, Nonlinear Anal, T.M.A., Vol. 13, 1989. | MR | Zbl

[3] A. Alvino and G. Trombetti, Ric. di Mat., Vol. 27, 1978. | MR | Zbl

[4] A. Alvino and G. Trombetti, Ric. di Mat., Vol. 30, 1981. | MR | Zbl

[5] A. Alvino and G. Trombetti, Rend. Acc. Naz. Lincei, Vol. 66, 1979. | MR | Zbl

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

[7] C. Bandle, J. Anal. Math., Vol. 30, 1976. | Zbl

[8] L. Boccardo, F. Murat and J.P. Puel, in Nonlinear Partial Differential Eq. and their Appl., Coll. de France Semin., 4, Res. Not. in Math., 84 p, Pitman, London, 1983. | MR | Zbl

[9] L. Boccardo, F. Murat and J.P. Puel, Portugaliae Math., Vol. 41, 1982. | MR | Zbl

[10] L. Boccardo, F. Murat and J.P. Puel, Ann. Sc. Norm. Sup. Pisa, Vol. 11, 1984. | Numdam | MR | Zbl

[11] G. Chiti, Boll. U.M.I., Vol. 16, 1979. | MR | Zbl

[12] K.M. Chong and N.M. Rice, Equimeasurable Rearrangements of Functions, Queen's papers in pure and applied math. n° 28, Queen's Univ., Ontario, 1971. | MR | Zbl

[13] M.G. Crandall and P.-L. Lions, Trans. Am. Math. Soc., Vol. 277, 1983. | MR | Zbl

[14] E. De Giorgi, Ann. Mat. Pura e Appl., Vol. 36, 1954. | Zbl

[15] W. Fleming and R. Rishel, Arch. Math., Vol. 11, 1960. | MR | Zbl

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

[17] B. Kawhol, Rearrangements and Convexitu of Level Sets in PDE, Springer-Verlag, 1985. | MR

[18] M.A. Krasnoselskii, Positive Solutions of Operator Equations, P. Noordhoff, 1964. | MR | Zbl

[19] P.-L. Lions, Nonlinear Partial Differential Equations and their Appl., Coll. de France Semin., 1, Pitman, London, 1980. ,

[20] J.-L. Lions, Quelques méthodes de resolutions des problèmes non linéaires, Gauthier-Villars, 1968.

[21] J. Mossino, Inégalités isopérimétriques et applications en physique, Hermann, Paris, 1985. | MR | Zbl

[22] J. Mossino and J.M. Rokotoson, Ann. Sc. Norm. Sup. Pisa, Vol. 13, 1986.

[23] C. Maderna and S. Salsa, Ann. Mat. Pura e Appl., Vol. 148, 1987. | MR | Zbl

[24] G. Talenti, Ann. Sc. Norm. Sup. Pisa, Vol. 3, 1976. | Numdam | MR | Zbl

[25] G. Talenti, Boll. U.M.I., Vol. 4-B, 1985. | Zbl

[26] G. Trombetti and J.L. Vasquez, Ann. Fac. Sc. de Toulouse, Vol. 5, 1985.

[27] J.L. Vasquez, C.R. Acad. Sci. Paris, T. 295, 1982.

[28] H. Weinberger, in Studies in Math. Anal., Stanford Univ. Press, 1962.