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arXiv · 1401.0271

Solutions without any symmetry for semilinear elliptic problems

Weiwei Ao·Monica Musso·Frank Pacard·Juncheng Wei
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Abstract

We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schr\"odinger equation $$ \Delta u-u+ u^3 =0 , $$ in ${\bf R}^2$, which have finite energy and whose maximal group of symmetry reduces to the identity.

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Weiwei Ao, Monica Musso, Frank Pacard, Juncheng Wei. 2014-01-01. Solutions without any symmetry for semilinear elliptic problems. https://arxiv.org/abs/1401.0271

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