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arXiv · 1108.5810

Singularly perturbed biharmonic problems with superlinear nonlinearities

Marcos T. O. Pimenta·Sérgio H. M. Soares
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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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Marcos T. O. Pimenta, Sérgio H. M. Soares. 2011-08-30. Singularly perturbed biharmonic problems with superlinear nonlinearities. https://arxiv.org/abs/1108.5810

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