Differentiability and partial Hölder continuity of the solutions of non-linear elliptic systems of order $2m$ with quadratic growth

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1. [1] R.A. Adams, Sobolev Spaces, Academic Press, New York (1975). Zbl0314.46030MR450957
2. [2] S. Campanato, Sulla regolarità delle soluzioni di equazioni differenziali di tipo ellittico, Editrice Tecnico Scientifica, Pisa (1963). 
3. [3] S. Campanato, Maggiorazioni interpolatorie negli spazi H m,pλ(Ω), Ann. Mat. Pura Appl., 75 (1967), pp. 261-276. Zbl0183.41201
4. [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. Zbl0428.35013MR547083
5. [5] S. Campanato, Sistemi ellittici in forma di divergenza. Regolarità all'interno, Quaderni della Scuola Norm. Sup. di Pisa (1980). Zbl0453.35026MR668196
6. [6] M. Giaquinta - G. Modica, Almost-everywhere regularity results for solutions of non linear elliptic systems, Manuscripta Math., 28 (1979), pp. 109-158. Zbl0411.35018MR535699
7. [7] F. John - L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math., 14 (1961), pp. 415-426. Zbl0102.04302MR131498
8. [8] O. Ladyzhenskaya - N. Ural'tseva, Linear and quasilinear elliptic eqnations, Academic Press, New York and London (1968) (translation). Zbl0164.13002MR244627
9. [9] C.B. MorreyJr., Multiple integrals in the calculus of variations, Springer-Verlag New York Inc. (1966). Zbl0142.38701MR202511
10. [10] C.B. MorreyJr., Partial regularity results for non-linear elliptic systems, Journal of Math. and Mech., 17, 7 (1968), pp. 649-670. Zbl0175.11901MR237947

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