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

2006/01/17 by Azzollini, Antonio, Pomponio, Alessio
#35J60 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0601410

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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