Compactness results and applications to some "zero mass" elliptic problems

Antonio Azzollini; Alessio Pomponio

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arXiv · math/0601410

Compactness results and applications to some "zero mass" elliptic problems

Antonio Azzollini·Alessio Pomponio

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Abstract

In this paper we present some compactness results, showing how they can be applied in dealing with "zero mass" problems by a variational approach. In particular we use our results in two different situations: we look for complex valued solutions of a very classical elliptic equation, and we study an elliptic problem on an axially symmetric unbounded domain.

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Antonio Azzollini, Alessio Pomponio. 2006-01-17. Compactness results and applications to some "zero mass" elliptic problems. https://arxiv.org/abs/math/0601410

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