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

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

2006-01-17

arxiv.org/abs/math/0601410v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

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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