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Existence of solitary waves in higher dimensions

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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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Authors and Affiliations

  1. Department of Mathematics, Brown University, 02912, Providence, Rhode Island, USA

    Walter A. Strauss

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  1. Walter A. Strauss
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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

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