A Generalized Palais-Smale Condition in the Fr\'echet space setting
  We extend the Palais-Smale condition to the cases of $C^1$-functionals on Fr\'echet spaces and Fr\'echet-Finsler manifolds of class $C^1$. In these contexts we use the introduced conditions along with Ekeland's variational principle to obtain some customary results concerning the existence of minima. 
Kaveh Eftekharinasab
math.DG