Compactness results and applications to some "zero mass" elliptic problems [article]

Antonio Azzollini, Alessio Pomponio
2006 arXiv   pre-print
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.
arXiv:math/0601410v1 fatcat:yc3galgjfrazhp7fi275mit6ai