Concentration on minimal submanifolds for a Yamabe-type problem

Deng Shengbing; Musso Monica; Pistoia Angela

首页> 外文期刊>Communications in Partial Differential Equations >Concentration on minimal submanifolds for a Yamabe-type problem

【24h】

Concentration on minimal submanifolds for a Yamabe-type problem

机译：专注于Yamabe型问题的最小子流形

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We construct solutions to a Yamabe-type problem on a Riemannian manifold M without boundary and of dimension greater than 2, with nonlinearity close to higher critical Sobolev exponents. These solutions concentrate their mass around a nondegenerate minimal submanifold of M, provided a certain geometric condition involving the sectional curvatures is satisfied. A connection with the solution of a class of PDE's on the submanifold with a singular term of attractive or repulsive type is established.

机译：我们构造了无边界且尺寸大于2的黎曼流形M上的Yamabe型问题的解，其非线性接近于较高的临界Sobolev指数。只要满足涉及截面曲率的某些几何条件，这些解的质量就集中在M的不变简最小子流形上。建立了与子流形上具有吸引或排斥类型奇异项的PDE类的解的联系。

著录项

来源
《Communications in Partial Differential Equations》 |2016年第9期|共47页
作者
Deng Shengbing; Musso Monica; Pistoia Angela;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类偏微分方程;
关键词
Concentration along minimal submanifolds; PDE's with attractive or repulsive type singularity; supercritical Yamabe type problem;

机译：沿最小子流形集中;具有吸引或排斥型奇点的PDE;超临界Yamabe型问题;

相似文献

外文文献
中文文献
专利

1. Concentration on minimal submanifolds for a Yamabe-type problem [J] . Deng Shengbing, Musso Monica, Pistoia Angela Communications in Partial Differential Equations . 2016,第7a9期

机译：专注于Yamabe型问题的最小子流形
2. Structure theorems for Ricci-semisymmetric submanifolds and geometric description of a class of minimal semi-Einstein submanifolds [J] . Mirzoyan VA Sbornik. Mathematics . 2006,第7a8期

机译：Ricci半对称子流形的结构定理和一类最小半爱因斯坦子流形的几何描述
3. Enlarging totally geodesic submanifolds of symmetric spaces to minimal submanifolds of one dimension higher [J] . Gorodski C Proceedings of the American Mathematical Society . 2004,第8期

机译：将对称空间的全测地子流形扩大到一维高的最小子流形
4. On the minimal submanifolds with finite type Gauss map in semi-Euclidean spaces [C] . NURETTIN CENK TURGAY, ELIF OZKARA CANFES International Conference on Applied Mathematics . 2014

机译：在半欧几里德空间中具有有限型高斯地图的最小子植物
5. Timelike minimal submanifolds in Robertson-Walker spacetimes. [D] . Allen, Paul T. 2007

机译：Robertson-Walker时空中的时间最小子流形。
6. ON THE COMPACT HOMOGENEOUS MINIMAL SUBMANIFOLDS [O] . Wu-Yi Hsiang 1966

机译：关于紧凑齐次最小子流形
7. Concentration on minimal submanifolds for a Yamabe-type problem [O] . Deng, Shengbing, Musso, Monica, Pistoia, Angela 2016

机译：专注于Yamabe型问题的最小子流形

Concentration on minimal submanifolds for a Yamabe-type problem

摘要

著录项

相似文献

相关主题

期刊订阅