Regularity results for the gradient of solutions of a class of linear elliptic systems with L data

Regularity results for the gradient of solutions of a class of linear elliptic systems with L data

We prove that if a vector-function f belongs to the Morrey space , with , n > =3, N > =2, lambda]0,n-2], and u is the solution of the system then Du belongs to the space , for any , provided the matrix of bounded measurable coefficients (Aij) has sufficiently small dispersion of the eigenvalue...

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Veröffentlicht in:Nonlinear analysis 2008-06, Vol.68 (12), p.3609-3624
Hauptverfasser: Cirmi, G R, Leonardi, S, Stara, J
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that if a vector-function f belongs to the Morrey space , with , n > =3, N > =2, lambda]0,n-2], and u is the solution of the system then Du belongs to the space , for any , provided the matrix of bounded measurable coefficients (Aij) has sufficiently small dispersion of the eigenvalues.
ISSN:0362-546X
DOI:10.1016/j.na.2007.04.004