Singularly perturbed biharmonic problems with superlinear nonlinearities

Details Singularly perturbed biharmonic problems with superlinear nonlinearities Singularly perturbed biharmonic problems with superlinear nonlinearities

2011-08-30

arxiv.org/abs/1108.5810v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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