تقرير
Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities
| العنوان: | Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities |
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| المؤلفون: | Jevnikar, Aleks, Sire, Yannick, Yang, Wen |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Differential Geometry |
| الوصف: | On a $2m$-dimensional closed manifold we investigate the existence of prescribed $Q$-curvature metrics with conical singularities. We present here a general existence and multiplicity result in the supercritical regime. To this end, we first carry out a blow-up analysis of a $2m$th-order PDE associated to the problem and then apply a variational argument of min-max type. For $m>1$, this seems to be the first existence result for supercritical conic manifolds different from the sphere. Comment: 26 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.06006 |
| رقم الأكسشن: | edsarx.2206.06006 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |