Geodesic
General boundary value problems for a class of singular and degenerate elliptic equations
Sbornik. Mathematics, Tome 40 (1981) no. 3, pp. 325-347 
V. V. Katrakhov. General boundary value problems for a class of singular and degenerate elliptic equations. Sbornik. Mathematics, Tome 40 (1981) no. 3, pp. 325-347. http://geodesic.mathdoc.fr/item/SM_1981_40_3_a2/
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     title = {General boundary value problems for a~class of singular and degenerate elliptic equations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper investigates general boundary value problems for a class of singular and degenerate elliptic equations satisfying Lopatinskii-type conditions on the part of the boundary where the singularity is concentrated. In the elliptic equations considered, the singular Bessel operator $\displaystyle B=\frac{\partial^2}{\partial y^2}+\frac{2\nu+1}y\frac\partial{\partial y}$ operates on one of the variables. For the above-mentioned problems coercive (a priori) bounds are given, right and left regularizers are given, and, with these, Fredholm solvability is proved. Bibliography: 15 titles.

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