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Article Dans Une Revue Advanced Nonlinear Studies Année : 2003

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 .

Dates et versions

hal-03348305 , version 1 (18-09-2021)

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Louis Jeanjean, Kazunaga Tanaka. A Note on a Mountain Pass Characterization of Least Energy Solutions. Advanced Nonlinear Studies, 2003, 3 (4), pp.445-455. ⟨10.1515/ans-2003-0403⟩. ⟨hal-03348305⟩
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