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| NEUMANN PROBLEM OF ELLIPTIC EQUATIONS W ITHLIMIT NONLINIEARITY IN BOUNDARY CONDITION |
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Citation： |
Deng Yinbing,Wang Xu jia,Wu Shaoping.NEUMANN PROBLEM OF ELLIPTIC EQUATIONS W ITHLIMIT NONLINIEARITY IN BOUNDARY CONDITION[J].Chinese Annals of Mathematics B,1994,15(3):299~310 |
| Page view： 970
Net amount： 636 |
Authors： |
Deng Yinbing; Wang Xu jia;Wu Shaoping |
Foundation： |
Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province. |
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| Abstract： |
This paper deals with a problem proposed by H.Brezis on the existence of positive solutions to the equation $\triangle{u}+u^{(n+2)/(n-2)}+f(x,u)=0$ under the Neumann boundary condition $D_{\gamma}=u^{n/(n-2)}$ where $f(x,u)$ is a lower order perturbation of $u^{(n+2)/(n-2)}$ at infinity. |
Keywords： |
Neumann problem, Semilinear elliptic equation, Positive solution. |
Classification： |
35J65. |
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