Document Zbl 0493.35022

Differentiability of the solutions of nonlinear elliptic systems with natural growth. (English) Zbl 0493.35022

Ann. Mat. Pura Appl., IV. Ser. 131, 75-106 (1982).

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MSC:

35D10	Regularity of generalized solutions of PDE (MSC2000)
35J60	Nonlinear elliptic equations
35B65	Smoothness and regularity of solutions to PDEs

Keywords:

local integral estimates

Citations:

Zbl 0474.35048

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References:

[1]	Campanato, S., Sulla regolarità delie soluzioni di equazioni differenziali di tipo ellittico (1963), Pisa: Editrice Tecnico-Scientifica, Pisa
[2]	Campanato, S., Maggiorazioni interpolatorie negli spazi H_γ^m,p(Ω), Annali di Matem. Pura e App., 75, 261-270 (1967) · Zbl 0183.41201
[3]	Campanato, S., Partial Hölder Continuity of the gradient of solutions of some nonlinear elliptic systems, Rend. Sem. Matem. Univ. Padova, 59, 147-165 (1978) · Zbl 0428.35013
[4]	S.Campanato,Sistemi ellittici in forma divergenza. Regolarità all’interno, Quaderni Scuola Norm. Sup. Pisa (1980). · Zbl 0453.35026
[5]	Campanato, S.; Cannarsa, P., Differentiability and partial Hölder continuity of the solutions of nonlinear elliptic systems of order 2m with quadratic growth, Ann. Scuola Norm. Sup. Pisa, 8, 285-309 (1981) · Zbl 0474.35048
[6]	S.Campanato,Risultati di regolarità per soluzioni di sistemi ellittici, Atti VI Congresso G.M.E.L., Luxembourg (1981), to appear.
[7]	Giusti, E., Begolarità parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario, Ann. Scuola Norm. Sup. Pisa, 23, 115-141 (1969) · Zbl 0175.40102
[8]	John, F.; Nirenberg, L., On functions of bounded mean oscillation, Comm. Pure and Appl. Math., 14, 415-426 (1961) · Zbl 0102.04302
[9]	Ladyzenskaya, O. A.; Ural’Ceva, N. N., Linear and quasi linear elliptic equations (1968), New York and London: Academic Press, New York and London · Zbl 0164.13002
[10]	Morrey, C. B., Multiple integrals in the calculus of variations (1966), New York: Springer-Verlag, New York · Zbl 0142.38701
[11]	Morret, C. B., Partial regularity results for nonlinear elliptic systems, Journal of Math. and Mech., 17, 649-670 (1968) · Zbl 0175.11901

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