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Differentiability and partial Hölder continuity of the solutions of non- linear elliptic systems of order 2m with quadratic growth. (English) Zbl 0474.35048


MSC:

35J60 Nonlinear elliptic equations
35B65 Smoothness and regularity of solutions to PDEs

Citations:

Zbl 0453.35026
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References:

[1] R.A. Adams , Sobolev Spaces , Academic Press , New York ( 1975 ). MR 450957 | Zbl 0314.46030 · Zbl 0314.46030
[2] S. Campanato , Sulla regolarità delle soluzioni di equazioni differenziali di tipo ellittico , Editrice Tecnico Scientifica , Pisa ( 1963 ).
[3] S. Campanato , Maggiorazioni interpolatorie negli spazi H m,p\lambda (\Omega ) , Ann. Mat. Pura Appl ., 75 ( 1967 ), pp. 261 - 276 . Zbl 0183.41201 · Zbl 0183.41201 · doi:10.1007/BF02416805
[4] S. Campanato , Partial Hölder continuity of the gradient of solutions of some non-linear elliptic systems , Rend. Sem. Mat. Univ. Padova , 59 ( 1978 ), pp. 147 - 165 . Numdam | MR 547083 | Zbl 0428.35013 · Zbl 0428.35013
[5] S. Campanato , Sistemi ellittici in forma di divergenza. Regolarità all’interno , Quaderni della Scuola Norm. Sup. di Pisa ( 1980 ). MR 668196 | Zbl 0453.35026 · Zbl 0453.35026
[6] M. Giaquinta - G. Modica , Almost-everywhere regularity results for solutions of non linear elliptic systems , Manuscripta Math ., 28 ( 1979 ), pp. 109 - 158 . MR 535699 | Zbl 0411.35018 · Zbl 0411.35018 · doi:10.1007/BF01647969
[7] F. John - L. Nirenberg , On functions of bounded mean oscillation , Comm. Pure Appl. Math. , 14 ( 1961 ), pp. 415 - 426 . MR 131498 | Zbl 0102.04302 · Zbl 0102.04302 · doi:10.1002/cpa.3160140317
[8] O. Ladyzhenskaya - N. Ural’tseva , Linear and quasilinear elliptic eqnations , Academic Press , New York and London ( 1968 ) (translation). MR 244627 | Zbl 0164.13002 · Zbl 0164.13002
[9] C.B. Morrey Jr. , Multiple integrals in the calculus of variations , Springer-Verlag New York Inc . ( 1966 ). MR 202511 | Zbl 0142.38701 · Zbl 0142.38701
[10] C.B. Morrey Jr. , Partial regularity results for non-linear elliptic systems , Journal of Math. and Mech. , 17 , 7 ( 1968 ), pp. 649 - 670 . MR 237947 | Zbl 0175.11901 · Zbl 0175.11901
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