Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495475 | Journal of Functional Analysis | 2005 | 28 Pages |
Abstract
By using the equivalent integral form for the Q-curvature equation, we generalize the well-known non-existence results on two-dimensional Gaussian curvature equation to all dimensional Q-curvature equation. Somehow, we introduce a new approach to Q-curvature equation which is higher order and even pseudo-differential equation. As a by-product, we do classify the solutions for Q=1 solutions on Sn as well as on Rn with necessary growth rate assumption.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xingwang Xu,