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NEUMANN PROBLEM OF ELLIPTIC EQUATIONS WITH LIMIT NONLINIEARITY IN BOUNDARY CONDITION

NEUMANN PROBLEM OF ELLIPTIC EQUATIONS WITHLIMIT NONLINIEARITY IN BOUNDARY CONDITION

作     者:DENGYINBING WANGXUJIA WUSHAOPING DENG YINBING;WANG XUJIA;WU SHAOPING(Department of Mathematics, Huazhong Normal Universityl Wuhan 430070, China.)(Department of Mathematics, Zhejiang Universityl Hangzhou 310027, China.)

作者机构:DepartmentofMathematicsHuazhongNormalUniversityWuhan430070China DepartmentofMathematicsZhejiangUniversityHangzhou310027China 

出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))

年 卷 期:1994年第15卷第3期

页      面:299-310页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:省市基金 国家自然科学基金 

主  题:Neumann problem Semilinear elliptic equation Positive solution. 

摘      要: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.

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