Singularly perturbed biharmonic problems with superlinear nonlinearities
  We are interested in finding a family of solutions to a singularly perturbed biharmonic equation which has a concentration behavior. The proof is based on variational methods and it is used a weak version of the Ambrosetti-Rabinowitz condition. 
Marcos T. O. Pimenta and S\'ergio H. M. Soares
math.AP