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Regularity results for the gradient of solutions of a class of linear elliptic systems with data
Authors:GR Cirmi  S Leonardi  J Star
Institution:

aDipartimento di Mathematica ed Informatica, Università di Catania, Viale A. Doria 6, 95125 Catania, Italy

bDepartment of Mathematical Analysis, Charles University, Faculty of Mathematics and Physics, Sokolovská 83, 18600 Praha 8, Czech Republic

Abstract:We prove that if a vector-function f belongs to the Morrey space View the MathML source, with View the MathML source, n≥3, N≥2, λset membership, variant]0,n−2], and u is the solution of the system
View the MathML source
then Du belongs to the space View the MathML source, for any View the MathML source, provided the matrix of bounded measurable coefficients (Aij) has sufficiently small dispersion of the eigenvalues.
Keywords:
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