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Nonlinear perturbation of the Klein–Gordon equation

In this article we study the solitary waves for nonlinear Klein–Gordon equation in an n-dimensional space, n ≥ 3. We prove the existence of a sequence (u ε) of radial solutions of perturbed equation, with (u ε) ≠ 0, ∀ε > 0, such that , where u is the solution of the limit problem.