Geodesic
On boundary values of solutions of elliptic equations degenerating on the boundary
Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 243-262

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Necessary and sufficient conditions are established for the existence, on the domain's boundary, of a limit in $\mathscr L_p$, $p>1$, of solutions of second order elliptic equations having Tricomi type degeneracy on the boundary. Solvability of the Dirichlet problem for such an equation in spaces of type $W^1_{p,\mathrm{loc}}$ is proved. Bibliography: 9 titles. 
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     author = {I. M. Petrushko},
     title = {On boundary values of solutions of elliptic equations degenerating on the boundary},
     journal = {Sbornik. Mathematics},
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     volume = {64},
     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_64_1_a14/}
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I. M. Petrushko. On boundary values of solutions of elliptic equations degenerating on the boundary. Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 243-262. http://geodesic.mathdoc.fr/item/SM_1989_64_1_a14/