@article{AIHPC_2000__17_2_147_0,
author = {Cianchi, Andrea},
title = {Local boundedness of minimizers of anisotropic functionals},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {17},
year = {2000},
pages = {147-168},
mrnumber = {1753091},
zbl = {0984.49019},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2000__17_2_147_0}
}
Cianchi, Andrea. Local boundedness of minimizers of anisotropic functionals. Annales de l'I.H.P. Analyse non linéaire, Tome 17 (2000) pp. 147-168. http://gdmltest.u-ga.fr/item/AIHPC_2000__17_2_147_0/
[2] , , W2,2 regularity for weak solutions of elliptic systems with nonstandard growth, J. Math. Anal. Appl. 176 (1993) 224-234. | MR 1222166 | Zbl 0809.35008
[3] , Boundedness of solutions to variational problems under general growth conditions, Comm. Partial Differential Equations 22 (1997) 1629-1646. | MR 1469584 | Zbl 0892.35048
[4] A fully anisotropic Sobolev inequality, Pacific Journal of Math., to appear. | Zbl 0966.46017
[5] , Sulla differenziabilità e 1' analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino (Classe di Sci. Mat. Fis. Nat.) 3 (3) (1957) 25-43. | MR 93649 | Zbl 0084.31901
[6] , , , Regularity for local minima of functionals with non standard growth conditions, Rend. Mat. 18 (7) (1998) 305-326. | MR 1659830 | Zbl 0917.49010
[7] , , Some remarks on the regularity of minima of anisotropic integrals, Comm. Partial Differential Equations 18 (1993) 153-167. | MR 1211728 | Zbl 0795.49025
[8] , Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Annals of Math. Studies, Vol. 105, Princeton Univ. Press, Princeton, 1983. | MR 717034 | Zbl 0516.49003
[9] , Growth conditions and regularity, a counterexample, Manuscr. Math. 59 (1987) 245-248. | MR 905200 | Zbl 0638.49005
[10] , , Quasi-minima, Ann. Inst. H. Poincaré (Analyse non Linéaire) 1 (1984) 79-107. | Numdam | Zbl 0541.49008
[11] , Direct Methods in the Calculus of Variations, Unione Matematica Italiana, Bologna, 1994. | MR 1707291 | Zbl 0942.49002
[12] , Some remarks on the minimizers of variational integrals with non standard growth conditions, Boll. Un. Mat. Ital. 6-A (1992) 91-101. | MR 1164739 | Zbl 0768.49022
[13] , On the boundedness of generalized solutions of elliptic differential equations with nonpower nonlinearities, Math. USSR Sbornik 66 (1990) 83-106. | MR 988847 | Zbl 0706.35030
[14] , , Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. | MR 244627 | Zbl 0164.13002
[15] , Weak differentiability for solutions to nonlinear elliptic systems with ( p, q) growth conditions, Ann. Mat. Pura Appl. 162 (1992) 349-366. | MR 1199662 | Zbl 0801.35023
[16] , The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva for elliptic equations, Comm. Partial Differential Equations 16 (1991) 311-361. | MR 1104103 | Zbl 0742.35028
[17] , Un exemple de solution discontinue d' un probléme variationnel dans le cas scalaire, Preprint, 1987.
[ 18] , Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions, Arch. Rat. Mech. Anal. 105 (1989) 267-284. | MR 969900 | Zbl 0667.49032
[ 19] , Regularity and existence of solutions of elliptic equations with p, q- growth conditions, J. Differential Equations 90 (1991) 1-30. | MR 1094446 | Zbl 0724.35043
[20] , Regularity for elliptic equations with general growth conditions, J. Differential Equations 105 (1993) 296-333. | MR 1240398 | Zbl 0812.35042
[21] , , Local boundedness of minimizers of integrals of the calculus of variations, Ann. Mat. Pura Appl. 167 (1994) 323-339. | MR 1313560 | Zbl 0819.49023
[22] , , Harnack inequality for minimizers of integral functionals with general growth conditions, Nonlinear Differential Equations Appl. 3 (1996) 232- 244. | MR 1385885 | Zbl 0855.49027
[23] , , Hölder continuity of minimizers of functionals with nonstandard growth conditions, Ric. Mat. 40 (1991) 259-273. | MR 1194158 | Zbl 0773.49019
[24] , Global boundedness of solutions of anisotropic variational problems, Boll. Un. Mat. Ital 5-A (1991) 345-352. | MR 1138548 | Zbl 0754.49026
[25] , Boundedness of minimizers, Hokkaido Math. J. 19 (1990) 259-279. | MR 1059170 | Zbl 0723.58015