| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4592057 | Journal of Functional Analysis | 2010 | 34 Pages |
Abstract
We consider the following prescribed scalar curvature problem on SNSNequation(∗){−ΔSNu+N(N−2)2u=K˜uN+2N−2onSN,u>0 where K˜ is positive and rotationally symmetric. We show that if K˜ has a local maximum point between the poles then Eq. (∗) has infinitely many non-radial positive solutions, whose energy can be made arbitrarily large.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Juncheng Wei, Shusen Yan,