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.File in questo prodotto:
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