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arXiv · 1011.3829

Existence and concentration of solutions for a class of biharmonic equations

Marcos T. O. Pimenta·Sérgio H. M. Soares
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Abstract

Some superlinear fourth order elliptic equations are considered. Ground states are proved to exist and to concentrate at a point in the limit. The proof relies on variational methods, where the existence and concentration of nontrivial solutions are related to a suitable truncated equation.

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Marcos T. O. Pimenta, Sérgio H. M. Soares. 2010-11-16. Existence and concentration of solutions for a class of biharmonic equations. https://doi.org/10.1016/j.jmaa.2012.01.039,

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