Advances in Differential Equations

Singularly perturbed biharmonic problems with superlinear nonlinearities

Marcos T.O. Pimenta and Sérgio H.M. Soares

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We are interested in finding a family of solutions of a singularly perturbed biharmonic equation, which has a concentration behavior. The proof is based on variational methods and uses a weak version of the Ambrosetti-Rabinowitz condition.

Article information

Adv. Differential Equations, Volume 19, Number 1/2 (2014), 31-50.

First available in Project Euclid: 12 November 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35J60: Nonlinear elliptic equations 35J35: Variational methods for higher-order elliptic equations


Pimenta, Marcos T.O.; Soares, Sérgio H.M. Singularly perturbed biharmonic problems with superlinear nonlinearities. Adv. Differential Equations 19 (2014), no. 1/2, 31--50.

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