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Keywords:
nonlinear elliptic system; regularity; Campanato-Morrey spaces
nonlinear elliptic system; regularity; Campanato-Morrey spaces
Summary:
Interior $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated.
References:
[1] Campanato S.: Sistemi ellittici in forma divergenza. Regolarita all'interno. Quaderni Pisa (1980). MR 0668196 | Zbl 0453.35026
[2] Campanato S.: Hölder continuity of the solutions of some non-linear elliptic systems. Adv. Math. 48 (1983), 16-43. MR 0697613
[3] Giaquinta M.: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. Annals of Mathematics Studies N.105 Princeton University Press Princeton (1983). MR 0717034 | Zbl 0516.49003
[4] Grevholm B.: On the structure of the spaces $\Cal L_k^{p,\lambda }$. Math. Scand. 26 (1970), 189-196. MR 0275146
[5] Kokilashvili V., Krbec M.: Weighted Norm Inequalities in Lorentz and Orlicz Spaces. World Scientific London (1991). MR 1156767
[6] Kufner A., John O., Fučík S.: Function Spaces. Academia Prague (1977). MR 0482102
[7] Morrey C.B., Jr.: Multiple Integrals in the Calculus of Variations. Springer-Verlag Heidelberg (1966). MR 0202511 | Zbl 0142.38701
[8] Nečas J.: Introduction to the Theory of Nonlinear Elliptic Equations. Teubner-Texte zur Mathematik Band 52 Leipzig (1983). MR 0731261
[9] Ziemer W.P.: Weakly Differentiable Functions. Springer-Verlag Heidelberg (1989). MR 1014685 | Zbl 0692.46022
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