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.
Conformal Dirac–Einstein equations on manifolds with boundary / Borrelli, W., Maalaoui, A., Martino, V.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 62:1(2023), pp. 1-52. [10.1007/s00526-022-02354-w]
Conformal Dirac–Einstein equations on manifolds with boundary
Borrelli W.;
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 allegati a questo prodotto
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