The present paper is concerned with elliptic systems with BMO coefficients: div(Anablau)=divF, where A(x) is a positive definite matrix whose entries are in BMO and F is a given matrix field in L p . We show existence and uniqueness of the distributional solution of class W 1,p , provided p is close to 2, depending on the BMO norm of A.

Elliptic systems of PDE with BMO-coefficients / Stroffolini, Bianca. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 15:3(2001), pp. 285-299. [10.1023/A:1011290420956]

Elliptic systems of PDE with BMO-coefficients.

STROFFOLINI, BIANCA
2001

Abstract

The present paper is concerned with elliptic systems with BMO coefficients: div(Anablau)=divF, where A(x) is a positive definite matrix whose entries are in BMO and F is a given matrix field in L p . We show existence and uniqueness of the distributional solution of class W 1,p , provided p is close to 2, depending on the BMO norm of A.
2001
Elliptic systems of PDE with BMO-coefficients / Stroffolini, Bianca. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 15:3(2001), pp. 285-299. [10.1023/A:1011290420956]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/165754
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