| UNIQUENESS OF THE POSITIVE SOLUTION FOR SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS |
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| 作者姓名： | DENG Yinbin CAO Daomin |
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| 作者单位： | DENG Yinbin;CAO Daomin Department of Mathematics，Huazhong Normal University，Wuhan 430070，China Wuhan Institute of Mathematical Sciences，Academia Sinica，Wuhan 430071，China |
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| 基金项目： | This work was partially supported by Institute of Mathematics,Academia Sinica. |
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| 摘 要： | This paper is concerned with the bounded value problems1/p(t)(p(t)u')'+f(u)=0, t>0, u'(0)=0, lim t→+∞ u(t)=0,where f(0)=0. Such problems arise in the study of semi-linear elliptic differential equa-tions in R~n. It is shown that the problem has at most one positive solution under appro-priate conditions on f and p. Our result can include the important case that p(t)=f~(n-1)and f(u)=u~P-u, where n>1, p>1 are some given constants.
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UNIQUENESS OF THE POSITIVE SOLUTION FOR SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS |
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| DENG Yinbin,CAO Daomin.UNIQUENESS OF THE POSITIVE SOLUTION FOR SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS[J].Journal of Systems Science and Complexity,1993(1). |
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| Authors: | DENG Yinbin CAO Daomin |
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| Institution: | DENG Yinbin,CAO Daomin Department of Mathematics,Huazhong Normal University,Wuhan 430070,China Wuhan Institute of Mathematical Sciences,Academia Sinica,Wuhan 430071,China |
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| Abstract: | |
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| Keywords: | Uniqueness singular boundary value problem semilinear elliptic equation |
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