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arxiv: 1011.3829 · v2 · pith:CDPOXAU3new · submitted 2010-11-16 · 🧮 math.AP

Existence and concentration of solutions for a class of biharmonic equations

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keywords concentrationequationsexistencesolutionsbiharmonicclassconcentrateconsidered
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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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