Geodesic
The Dirichlet problem for elliptic equations in the plane
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 751-758.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_2005__46_4_a13,
     author = {Cavaliere, Paola and Transirico, Maria},
     title = {The {Dirichlet} problem for elliptic equations in the plane},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {751--758},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2005},
     mrnumber = {2259505},
     zbl = {1121.35040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2005__46_4_a13/}
}
TY  - JOUR
AU  - Cavaliere, Paola
AU  - Transirico, Maria
TI  - The Dirichlet problem for elliptic equations in the plane
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2005
SP  - 751
EP  - 758
VL  - 46
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2005__46_4_a13/
LA  - en
ID  - CMUC_2005__46_4_a13
ER  - 
%0 Journal Article
%A Cavaliere, Paola
%A Transirico, Maria
%T The Dirichlet problem for elliptic equations in the plane
%J Commentationes Mathematicae Universitatis Carolinae
%D 2005
%P 751-758
%V 46
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2005__46_4_a13/
%G en
%F CMUC_2005__46_4_a13
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/