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arxiv: 1108.5810 · v1 · pith:HZUT3UN6new · submitted 2011-08-30 · 🧮 math.AP

Singularly perturbed biharmonic problems with superlinear nonlinearities

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keywords biharmonicperturbedsingularlyambrosetti-rabinowitzbehaviorconcentrationconditionequation
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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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