Geodesic
On the Dirichlet-Type Problem for Elliptic Systems Degenerate at a Line
Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 270-278

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In this paper, the Dirichlet-type problem for the system of elliptic equations of second order with the degeneracy at a line crossing the domain is considered. The Dirichlet-type problem with additionally given asymptotics of the solution at this line is discussed. The uniqueness and the existence of the solution of this problem in the class of Hölder functions is proved.
Keywords: elliptic systems, degeneracy, Dirichlet problem, asymptotic of solutions. 
@article{MZM_2016_100_2_a6,
     author = {S. Rutkauskas},
     title = {On the {Dirichlet-Type} {Problem} for {Elliptic} {Systems} {Degenerate} at a {Line}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {270--278},
     publisher = {mathdoc},
     volume = {100},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a6/}
}
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S. Rutkauskas. On the Dirichlet-Type Problem for Elliptic Systems Degenerate at a Line. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 270-278. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a6/