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https://scholarbank.nus.edu.sg/handle/10635/104427
| Title: | Uniqueness and a priori estimates for some nonlinear elliptic Neumann equations in ℝ3 | Authors: | Wei, J. Xu, X. |
Keywords: | Critical sobolev exponent Neumann equation Nonlinear elliptic PDEs |
Issue Date: | Sep-2005 | Citation: | Wei, J.,Xu, X. (2005-09). Uniqueness and a priori estimates for some nonlinear elliptic Neumann equations in ℝ3. Pacific Journal of Mathematics 221 (1) : 159-165. ScholarBank@NUS Repository. | Abstract: | Under some conditions on f (u), we show that for λ small and Ω R convex, the only solution to the elliptic equation Δu - λu + f (u) = 0 in Ω, with u > 0 in Ω and u/v = 0 on Ω, is constant. | Source Title: | Pacific Journal of Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/104427 | ISSN: | 00308730 |
| Appears in Collections: | Staff Publications |
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