A Mountain Pass Theorem for a Suitable Class of Functions

  title={A Mountain Pass Theorem for a Suitable Class of Functions},
  author={Diego Averna and Gabriele Bonanno},
The main purpose of this paper is to establish a three critical points result without assuming the coercivity of the involved functional. To this end, a mountain-pass theorem, where the usual Palais-Smale condition is not requested, is presented. These results are then applied to prove the existence of three solutions for a two-point boundary value problem with no asymptotic conditions. 

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