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A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on ℝN. The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make …