Abstract
Abstract The problem with boundary Dirichlet zero data is considered in an exterior domain Ω ⊂ ℝN. Assuming that, as ε →0, aε concentrates and blows up at a point of Ω, namely the existence of at least 2 distinct positive solutions is proved, if is suitably small. Furthermore, if aε(x) has a suitable behaviour at infinity, the existence of another positive solution is shown.
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