半线性椭圆方程的多解问题  

Multiple Solutions to Semilinear Ellipitic Function

作　　者：金云娟[1] 吴波[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《天津师范大学学报（自然科学版）》2005年第2期47-49,57,共4页Journal of Tianjin Normal University：Natural Science Edition

摘　　要：研究一类非线性Neumann问题,指出在适当的条件下,存在一个开区间Λ1 R和正实数σ,使得对每个λ∈Λ1,问题(P)在H1(Ω)中的一个闭凸子集C上至少有3个范数小于σ的弱解满足Variational-Hemivariational不等式.结论推广了参考文献[1]中的相应结果.<Abstrcat> A class of nonlinear Neumann problem was studied. Under suitable assumptions, the existence of an open interval Λ_1R and of a positive real number σ, for each λ∈Λ_1, made problem(P) have at least three weak solutions whose norms were less than σ on a closed and convex subset C in H^1(Ω) , and these weak solutions satisfied Variational-Hemivariational inequality. Our conclusions improve the corresponding results in reference [1].

关 键 词：局部Lipschitz Variational—Hemivariational不等式 (PS)c条件 

分 类 号：O175.25[理学—数学]