Abstract
The elliptic equation Δu=F(u) possesses non-trivial solutions inR n which are exponentially small at infinity, for a large class of functionsF. Each of them provides a solitary wave of the nonlinear Klein-Gordon equation.
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Communicated by A. Jaffe
This work was supported in part by NSF Grant MCS 75-08827
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Strauss, W.A. Existence of solitary waves in higher dimensions. Commun.Math. Phys. 55, 149–162 (1977). https://doi.org/10.1007/BF01626517
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DOI: https://doi.org/10.1007/BF01626517