Geodesic
Regular oblique derivative problem in Morrey spaces
Electronic journal of differential equations, Tome 2000 (2000)
This article presents a study of the regular oblique derivative problem

$ \displaylines{ \sum_{i,j=1}^n a^{ij}(x) \frac{\partial^2 u }{\partial x_i\partial x_j} =f(x) \cr \frac{\partial u }{\partial \ell(x)}+ \sigma(x) u = \varphi(x)\,. }$

Assuming that the coefficients $a^{ij}$ belong to the Sarason's class of functions with vanishing mean oscillation, we show existence and global regularity of strong solutions in Morrey spaces.
Classification : 35J25, 35B65, 35R05
Keywords: uniformly elliptic operator, regular oblique derivative problem, Morrey spaces 
@article{EJDE_2000__2000__a151,
     author = {Palagachev,  Dian K. and Ragusa,  Maria Alessandra and Softova,  Lubomira G.},
     title = {Regular oblique derivative problem in {Morrey} spaces},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {1002.35033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a151/}
}
TY  - JOUR
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AU  - Ragusa,  Maria Alessandra
AU  - Softova,  Lubomira G.
TI  - Regular oblique derivative problem in Morrey spaces
JO  - Electronic journal of differential equations
PY  - 2000
VL  - 2000
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a151/
LA  - en
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%0 Journal Article
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%A Ragusa,  Maria Alessandra
%A Softova,  Lubomira G.
%T Regular oblique derivative problem in Morrey spaces
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a151/
%G en
%F EJDE_2000__2000__a151
Palagachev,  Dian K.; Ragusa,  Maria Alessandra; Softova,  Lubomira G. Regular oblique derivative problem in Morrey spaces. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a151/