In this paper we study Dirac-Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under chiral bag boundary conditions for the Dirac operator. We characterize the bubbling phenomenon, also classifying ground state bubbles. Finally, we prove an Aubin-type inequality and a related existence result.
Borrelli W., Maalaoui A., Martino V. (2023). Conformal Dirac–Einstein equations on manifolds with boundary. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 62(1), 1-52 [10.1007/s00526-022-02354-w].
Conformal Dirac–Einstein equations on manifolds with boundary
Martino V.
2023
Abstract
In this paper we study Dirac-Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under chiral bag boundary conditions for the Dirac operator. We characterize the bubbling phenomenon, also classifying ground state bubbles. Finally, we prove an Aubin-type inequality and a related existence result.File in questo prodotto:
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