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Title: | Uniqueness theorem for the entire positive solutions of biharmonic equations in ℝn | Authors: | Xu, X. | Issue Date: | 2000 | Citation: | Xu, X. (2000). Uniqueness theorem for the entire positive solutions of biharmonic equations in ℝn. Royal Society of Edinburgh - Proceedings A 130 (3) : 651-670. ScholarBank@NUS Repository. | Abstract: | The entire positive solutions of a conformally invariant biharmonic equation in ℝn will be classified using the method of moving spheres. As a byproduct, one also shows that any entire non-negative solution of the equation Δ2u = up with 1 ≤ p < (n + 4)/(n - 4) with n ≥ 2 is zero. | Source Title: | Royal Society of Edinburgh - Proceedings A | URI: | http://scholarbank.nus.edu.sg/handle/10635/104436 | ISSN: | 03082105 |
Appears in Collections: | Staff Publications |
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