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

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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… Click to show full 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.

Keywords: conformal dirac; dirac einstein; sequences conformal; palais smale; problem; smale sequences

Journal Title: Journal of Differential Equations
Year Published: 2019

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