Singularly perturbed biharmonic problems with superlinear nonlinearities
Analysis of PDEs
2011-08-31 v1
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.
Cite
@article{arxiv.1108.5810,
title = {Singularly perturbed biharmonic problems with superlinear nonlinearities},
author = {Marcos T. O. Pimenta and Sérgio H. M. Soares},
journal= {arXiv preprint arXiv:1108.5810},
year = {2011}
}
Comments
20 pages