Geodesic
Asymptotics of the solutions of some higher order elliptic equations in conical domains
Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 89-117

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For the equation $((-1)^mP(D_x,D_y)+D_y)u=f$, where $P$ is a homogeneous positive polynomial of degree $2m$, $x\in\mathbf R^2$ and $y\in\mathbf R^1$, the first boundary value problem is considered in a conical domain. The asymptotics of the solution at infinity is studied under the condition that the right side and the boundary functions asymptotically coincide with polynomials. Bibliography: 7 titles. 
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     author = {A. M. Il'in and E. F. Lelikova},
     title = {Asymptotics of the solutions of some higher order elliptic equations in conical domains},
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A. M. Il'in; E. F. Lelikova. Asymptotics of the solutions of some higher order elliptic equations in conical domains. Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 89-117. http://geodesic.mathdoc.fr/item/SM_1986_53_1_a4/