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Fabes, Eugene B.; Kenig, Carlos E.; Serapioni, Raul P.

The local regularity of solutions of degenerate elliptic equations. (English) Zbl 0498.35042

Commun. Partial Differ. Equations 7, 77-116 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 5 Reviews
Cited in 520 Documents

MSC:

35J70 Degenerate elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
35B45 A priori estimates in context of PDEs
35B50 Maximum principles in context of PDEs

Keywords:

local regularity; Harnack principle; non-negative solutions; weighted spaces; Poincare inequalities
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References:

[1] Caffarelli L., to appear in the Indiana U. Math. Journal.
[2] Coifman R., Studia Math., T. LI. pp 341– (1974)
[3] De Giorgi E., Mem. Accad. Sci. Torino 3 pp 25– (1957)
[4] DOI: 10.1112/jlms/s2-5.1.21 · Zbl 0234.35030 · doi:10.1112/jlms/s2-5.1.21
[5] DOI: 10.1007/BF02392268 · Zbl 0258.30021 · doi:10.1007/BF02392268
[6] Jones P., Tr. Vsesoyuzn. matem. s’ezda
[7] Jerrison D., Tr. Vsesoyuzn. matem. s’ezda
[8] Kinderlehrer D., An Introduction to Variational Inequalities and their Applications (1930)
[9] Kruzkov S.N., Soviet Mathematics 4 pp 686– (1953)
[10] Littman W., Annali della Scu la pp 45– (1963)
[11] DOI: 10.1002/cpa.3160140329 · Zbl 0111.09302 · doi:10.1002/cpa.3160140329
[12] Muckenhoupt B., Trans. Amer. Math. Soc. 155 pp 207– (1971)
[13] DOI: 10.1090/S0002-9947-1974-0340523-6 · doi:10.1090/S0002-9947-1974-0340523-6
[14] Muckenhoupt B., Studia Math. 54 pp 221– (1976)
[15] DOI: 10.1007/BF02413623 · Zbl 0185.19201 · doi:10.1007/BF02413623
[16] DOI: 10.2307/2372841 · Zbl 0096.06902 · doi:10.2307/2372841
[17] DOI: 10.5802/aif.204 · Zbl 0151.15401 · doi:10.5802/aif.204
[18] Stein E., Singular integrals and differentiability properties of functions (1970) · Zbl 0207.13501
[19] Stredulinsky E., Abstracts of the 2 (2) pp 300– (1981)
[20] DOI: 10.1007/BF00282317 · Zbl 0218.35035 · doi:10.1007/BF00282317
[21] Trudinger N., Ann. Sc. Norm. Pisa. 27 pp 265– (1973)
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