Remarks on the Hölder continuity of solutions to elliptic equations in divergence form

Calculus of Variations and Partial Differential Equations

Volumn 25, Issue 3, 2006, Pages 395-401

  Tilli, Paolo ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644504856     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-005-0348-3     Document Type: Article

References (7)

1. De Giorgi. E.: Sulla differenziabilità e l'analiticità à delle estremali degli integrali multipli regolari Mem. Accad. Sci. Torino. Cl. Sci. Fis. Mat. Nat. (3) 3, 25-43 (1957)
2. Gilbarg, D., Trudinger.: Elliptic partial differential equations of second order, Reprint of the 1998 edition, Springer, Berlin, (2001)
3. Giusti, E.: Direct methods in the calculus of variations (Italian), Unione Matematica Italiana, Bologna, (1994)
4. Ladyzhenskaya, O. A., Ural'tseva, N. N.: Linear and quasilinear equations of elliptic type (Russian), Second edition, revised., Izdat. "Nauka", Moscow, (1973)
5. Moser. J.: A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations. Comm. Pure Appl. Math. 13, 457-468 (1960)
6. Moser, J.: On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math. 14, 577-591 (1961)
7. Nash, J.: Continuity of solutions of parabolic and elliptic equations. Amer. J. Math. 80, 931-954 (1958)