The existence and uniqueness of the -generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.
V. Rukavishnikov. E. Rukavishnikova. "On the Existence and Uniqueness of -Generalized Solution for Dirichlet Problem with Singularity on All Boundary." Abstr. Appl. Anal. 2014 (SI62) 1 - 6, 2014. https://doi.org/10.1155/2014/568726