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arXiv · 1705.05260

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

Ali Maalaoui·Vittorio Martino
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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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Ali Maalaoui, Vittorio Martino. 2017-05-15. Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications. https://arxiv.org/abs/1705.05260

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