A theorem on global regularity of solutions of singular elliptic equations

Kurzfassung/Abstract

Let u be a solution of a singular elliptic equation Δu + bur + f ≡ 0 where b has a first order singularity on the outer boundary ∂+ of an annular domain, and assume that u and ∞ satisfy certain decay conditions near ∂+. Then a regularity property of u near ∂+ is proved, provided the residue of b at ∂+ is large enough.