Singularly perturbed biharmonic problems with superlinear nonlinearities

2011/08/30 by Pimenta, Marcos T. O., Soares, Sérgio H. M.
#35J35 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1108.5810

Abstract

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.

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