Infinitely many solutions for the prescribed scalar curvature problem onSN
Copyright policy ) Juncheng Wei; Shusen Yan;
Infinitely many solutions for the prescribed scalar curvature problem onSN
AbstractWe consider the following prescribed scalar curvature problem on SN(∗){−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.
- University of New England United States
- Chinese University of Hong Kong China (People's Republic of)
- University of New England Australia
- The Chinese University of Hong-Kong Hong Kong
- Department of Mathematics, The Chinese University of Hong Kong Hong Kong
Reduction argument, Elliptic equation, Prescribed scalar curvature
Reduction argument, Elliptic equation, Prescribed scalar curvature
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citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 171
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