Communications in Mathematical Physics

, Volume 55, Issue 2, pp 149–162 | Cite as

Existence of solitary waves in higher dimensions

  • Walter A. Strauss


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics High Dimension 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Walter A. Strauss
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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