A Note on a Mountain Pass Characterization of Least Energy Solutions
Résumé
Abstract We consider the equation -uʺ = g(u), u(x) ∈ H 1 (ℝ). (0.1) Under general assumptions on the nonlinearity g we prove that the, unique up to translation, solution of (0.1) is at the mountain pass level of the associated functional. This result extends a corresponding result for least energy solutions when (0.1) is set on ℝ N .