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| Title: | Combining solutions of semilinear partial differential equations in ℝn with critical sobolev exponent | Authors: | Leung, M.C. | Keywords: | Combining solutions Scalar curvature equation Slow decay |
Issue Date: | 2004 | Citation: | Leung, M.C. (2004). Combining solutions of semilinear partial differential equations in ℝn with critical sobolev exponent. Communications in Partial Differential Equations 29 (5-6) : 763-784. ScholarBank@NUS Repository. | Abstract: | We consider a positive C2-function u in ℝn which is equal to two different spherical solutions respectively in two disjoint domains. u satisfies the equation Δu + n(n - 2)Ku n+2/n-2 = 0 in ℝn. By a result of Gidas, Ni and Nirenberg, K ≢ 1 in ℝn. In this paper we discuss lower bounds on supℝn |K - 1|. The estimates are applied to study blow-up solutions and interaction of bubbles. | Source Title: | Communications in Partial Differential Equations | URI: | http://scholarbank.nus.edu.sg/handle/10635/103002 | ISSN: | 03605302 |
| Appears in Collections: | Staff Publications |
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