A note on extremal functions for sharp Sobolev inequalities
In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on which the classical sharp Sobolev inequalitie...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/87/abstr.html |