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Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications

Published 15 May 2017 in math.AP and math.DG | (1705.05260v1)

Abstract: In this paper we study the Palais-Smale sequences of the conformal Dirac-Einstein problem. After we characterize the bubbling phenomena, we prove an Aubin type result leading to the existence of a positive solution. Then we show the existence of infinitely many solutions to the problem provided that the underlying manifold exhibits certain symmetries.

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Authors (2)

  1. Ali Maalaoui 
  2. Vittorio Martino 

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