NEUMANN PROBLEM OF ELLIPTIC EQUATIONS WITH LIMIT NONLINIEARITY IN BOUNDARY CONDITION
NEUMANN PROBLEM OF ELLIPTIC EQUATIONS WITHLIMIT NONLINIEARITY IN BOUNDARY CONDITION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]
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.