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NEUMANN PROBLEM OF ELLIPTIC EQUATIONS WITH LIMIT NONLINIEARITY IN BOUNDARY CONDITION
作者姓名:Deng Yinbing  Wang Xu ji  Wu Shaoping
作者单位:DENG YINBING; WANG XUJIA; WU SHAOPING(Department of Mathematics,Huazhong Normal Universityl Wuhan 430070,China.)(Department of Mathematics,Zhejiang Universityl Hangzhou 310027,China.)
摘    要:NEUMANNPROBLEMOFELLIPTICEQUATIONSWITHLIMITNONLINIEARITYINBOUNDARYCONDITION¥DENGYINBING;WANGXUJIA;WUSHAOPING(DepartmentofMathe...

关 键 词:诺埃曼问题  半线性椭圆方程  正解  非线性  边界条件
收稿时间:1992/3/23 0:00:00
修稿时间:1992/12/22 0:00:00

NEUMANN PROBLEM OF ELLIPTIC EQUATIONS W ITH LIMIT NONLINIEARITY IN BOUNDARY CONDITION
Deng Yinbing,Wang Xu ji,Wu Shaoping.NEUMANN PROBLEM OF ELLIPTIC EQUATIONS W ITH LIMIT NONLINIEARITY IN BOUNDARY CONDITION[J].Chinese Annals of Mathematics,Series B,1994,15(3):299-310.
Authors:Deng Yinbing  Wang Xu jia and Wu Shaoping
Institution:[1]DepartmentofMathematics,HuazhongNormalUniversity,Wuhan430070,China [2]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027,China
Abstract:This paper deals with a problem proposed by H. Brezis on the existence of positive solutionsto the equation An + u(rt+2)/(n--2) + f(x,u) = 0 under the Neumann boundaly collditionD.u = un/(rt--z), 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  
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