English

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

Analysis of PDEs 2007-05-23 v1

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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Cite

@article{arxiv.math/0601410,
  title  = {Compactness results and applications to some "zero mass" elliptic problems},
  author = {Antonio Azzollini and Alessio Pomponio},
  journal= {arXiv preprint arXiv:math/0601410},
  year   = {2007}
}

Comments

28 pages