Geodesic
On solvability of one elliptic equation in a half-space
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 618-638

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In the present paper we consider the Dirichlet problem for one elliptic equation with a parameter in a half-space. We establish solvability of the boundary value problem in the Sobolev space $W^{4l}_p$ under restrictions on $p$.
Mots-clés : elliptic equation
Keywords: boundary value problem, Sobolev space. 
@article{SEMR_2012_9_a32,
     author = {L. N. Bondar},
     title = {On solvability of one elliptic equation in a half-space},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {618--638},
     publisher = {mathdoc},
     volume = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a32/}
}
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L. N. Bondar. On solvability of one elliptic equation in a half-space. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 618-638. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a32/