The semilinear elliptic boundary value problem
1.1
will be considered in an exterior domain Ω ⊂ R n , n ≥ 2, with boundary ∂Ω ∊ C 2 + α , 0 < α < 1, where
1.2
D i = ∂/∂x i , i = 1, …, n. The coefficients aij , bi in (1.2) are assumed to be real-valued functions defined in Ω ∪ ∂Ω such that each
,
, and (aij (x)) is uniformly positive definite in every bounded domain in Ω. The Hölder exponent α is understood to be fixed throughout, 0 < α < 1 . The regularity hypotheses on f and g are stated as H 1 near the beginning of Section 2.