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

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arxiv math/0601410 v1 pith:OR4ACX4C submitted 2006-01-17 math.AP

Antonio Azzollini , Alessio Pomponio This is my paper · ORCID
classification math.AP
keywords ellipticresultscompactnessmassproblemssomezeroapplications
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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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  1. Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories

    hep-th 2019-08 conditional novelty 8.0 of 10

    A new class of N=2 holomorphic Lifshitz supersymmetric models is shown to possess exact lines of quantum critical fixed points with coupling-dependent dynamical exponent z.

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