Geodesic
The Dirichlet problem for elliptic equations in the plane
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 751-758 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper an existence and uniqueness theorem for the Dirichlet problem in $W^{2,p}$ for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class {\it VMO\/}.
In this paper an existence and uniqueness theorem for the Dirichlet problem in $W^{2,p}$ for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class {\it VMO\/}.
Classification : 30G20, 35J25, 35R05
Keywords: elliptic equations; {\it VMO\/}-coefficients 
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     title = {The {Dirichlet} problem for elliptic equations in the plane},
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Cavaliere, Paola; Transirico, Maria. The Dirichlet problem for elliptic equations in the plane. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 751-758. http://geodesic.mathdoc.fr/item/CMUC_2005_46_4_a13/