Solutions without any symmetry for semilinear elliptic problems
  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. 
Weiwei Ao, Monica Musso, Frank Pacard and Juncheng Wei
math.AP