The semilinear elliptic boundary value problem
will be considered in an exterior domain Ω ⊂ R
, n ≥ 2, with boundary ∂Ω ∊ C
2 + α
, 0 < α < 1, where
, i = 1, …, n. The coefficients aij
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.