Given an asymptotically hyperbolic manifold with minimal conformal infinity, we construct blowing-up solutions for linear perturbations of the fractional Yamabe problem on the conformal infinity provided that either the trace-free part of the second fundamental form or the covariant normal derivative of the normal component of the Ricci tensor on the conformal infinity is non-trivial.
Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity / Deng, S.; Kim, S.; Pistoia, A.. - In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY. - ISSN 1019-8385. - 29:2(2021), pp. 363-407. [10.4310/CAG.2021.v29.n2.a4]
Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity
Pistoia A.
2021
Abstract
Given an asymptotically hyperbolic manifold with minimal conformal infinity, we construct blowing-up solutions for linear perturbations of the fractional Yamabe problem on the conformal infinity provided that either the trace-free part of the second fundamental form or the covariant normal derivative of the normal component of the Ricci tensor on the conformal infinity is non-trivial.File allegati a questo prodotto
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