@article{AIHPC_1997__14_2_275_0, author = {Alvino, Angelo and Ferone, Vincenzo and Trombetti, Guido and Lions, Pierre-Louis}, title = {Convex symmetrization and applications}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {14}, year = {1997}, pages = {275-293}, mrnumber = {1441395}, zbl = {0877.35040}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1997__14_2_275_0} }
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis. Convex symmetrization and applications. Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) pp. 275-293. http://gdmltest.u-ga.fr/item/AIHPC_1997__14_2_275_0/
[ADLT] Elliptic equations and Steiner symmetrization, C.R. Acad. Sci. Paris, Vol. 314, 1992, pp. 1015-1020. | MR 1168527 | Zbl 0795.35022
, , and ,[ALT] Comparison results for elliptic and parabolic equations via Schwarz symmetrization, Ann. Inst. Henri Poinearé, Analyse Nonlineaire, Vol. 7, 1990, pp. 37-65. | Numdam | MR 1051227 | Zbl 0703.35007
, and ,[AB] A notion of total variation depending on a metric with discontinuous coefficients, Ann. Inst. Henri Poincaré, Analyse Nonlineaire, Vol. 11, 1994, pp. 91-133. | Numdam | MR 1259102 | Zbl 0842.49016
and ,[Ba] On symmetrizations in parabolic equations, J. Anal. Math., Vol. 30, 1976, pp. 98-112. | MR 442477 | Zbl 0331.35036
,[BFM] Regularity for solutions of nonlinear elliptic equations, Bull. Sci. Math., Vol. 118, 1994, pp. 539-567. | MR 1309088 | Zbl 0842.35014
, and ,[BZ] Geometric Inequalities, Springer-Verlag, Berlin, 1988. | MR 936419 | Zbl 0633.53002
and ,[Bu] The isoperimetric problem for Minkowski area, Amer. J. Math., Vol. 71, 1949, pp. 743-762. | MR 31762 | Zbl 0038.10301
,[DG] 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 62214 | Zbl 0055.28504
,[FP] Symmetrization results for elliptic equations with lower-order terms, Atti Sem. Mat. Fis. Univ. Modena, Vol. 39, 1991, pp. 47-61. | MR 1179021 | Zbl 0796.35034
and ,[FPV] An inequality concerning rearrangements of functions and Hamilton-Jacobi equations, Arch. Rat. Mech. Anal., Vol. 125, 1993, pp. 257-269. | MR 1245072 | Zbl 0787.35020
, and ,[GN] Symmetrization in a class of first-order Hamilton-Jacobi equations, Nonlinear Analysis T.M.A., Vol. 8, 1984, pp. 289-299. | MR 739660 | Zbl 0543.35014
and ,[G] Minimal Surfaces and Functions of Bounded Variation, Birkhäuser, Basel, 1984. | MR 775682 | Zbl 0545.49018
,[La] Convex sets and their applications, J. Wiley and Sons, New York, 1982. | MR 655598 | Zbl 0492.52001
,[Li] Generalized solutions of Hamilton-Jacobi equations, Pitman, London, 1982. | MR 667669 | Zbl 0497.35001
,[M] Sobolev spaces, Springer-Verlag, Berlin, 1985. | MR 817985
,[MR] Isoperimetric inequalities in parabolic equations, Ann. Scuola Norm. Sup. Pisa, Vol. 13, 1986, pp. 51-73. | Numdam | MR 863635 | Zbl 0652.35053
and ,[PS] Isoperimetric inequalities in mathematical physics, Ann. Math. Studies, No. 27, Princeton University Press, Princeton, 1951. | MR 43486 | Zbl 0044.38301
and ,[R] Convex Analysis, Princeton University Press, Princeton, 1970. | MR 274683 | Zbl 0193.18401
,[T1] Best constant in Sobolev inequality, Ann. Mat. Pura e Appl., Vol. 110, 1976, pp. 353-372. | MR 463908 | Zbl 0353.46018
,[T2] Elliptic Equations and Rearrangements, Ann. Scuola Norm. Sup. Pisa, (4) Vol. 3, 1976, pp. 697-718. | Numdam | MR 601601 | Zbl 0341.35031
,[T3] Nonlinear elliptic equations, rearrangements of function and Orlicz spaces, Ann. Mat. Pura Appl., (4) Vol. 120, 1979, pp. 159-184. | MR 551065 | Zbl 0419.35041
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