تقرير
Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities
العنوان: | Prescribing $Q$-curvature on even-dimensional manifolds with conical singularities |
---|---|
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. |