A note on nonlinear homogenization

Communications on Pure and Applied Mathematics

Volumn 52, Issue 7, 1999, Pages 829-838

  Caffarelli, L A ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013004475     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199907)52:7<829::AID-CPA3>3.0.CO;2-M     Document Type: Article

References (8)

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2. Brézis, H. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hubert. (French) North-Holland Mathematics Studies, No. 5. Notas de Matemética (50). North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973.
3. Caffarelli, L. A.; Cabré, X. Fully nonlinear elliptic equations. American Mathematical Society Colloquium Publications, 43. American Mathematical Society, Providence, RI, 1995.
4. 1,p estimates for elliptic equations in divergence form. Comm. Pure Appl. Math. 51 (1998), no. 1, 1-21.
5. Dal Maso, G.; Defranceschi, A. Correctors for the homogenization of monotone operators. Differential Integral Equations 3 (1990), no. 6, 1151-1166.
6. Evans, L. C. Periodic homogenisation of certain fully nonlinear partial differential equations. Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), no. 3-4, 245-265.
7. Jikov, V. V.; Kozlov, S. M.; Oleǐnik, O. A. Homogenization of differential operators and integral functionals. Translated from the Russian by G. A. Yosifian [G. A. losif'yan]. Springer-Verlag, Berlin, 1994.
8. Rakotoson, J.-M.; Ziemer, W. P. Local behavior of solutions of quasilinear elliptic equations with general structure. Trans. Amer. Math. Soc. 319 (1990), no. 2, 747-764.