一般区域上含跳跃项平均曲率算子方程解的全局分歧  

Bifurcation of solutions for the problems involving jumping non-linearities with mean curvature operator on general domain

作　　者：沈文国 SHEN Wenguo(College of General Education,Guangdong University of Science and Technology,Dongguan 523083,Guangdong Province,China)

机构地区：[1]广东科技学院通识教育学院,广东东莞523083

出　　处：《浙江大学学报（理学版）》2024年第4期443-449,共7页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(11561038)。

摘　　要：建立了一般区域上含跳跃项平均曲率算子方程解的全局分歧定理,研究了问题■解的存在性,其中λ≠0为实参数,Ω为在R^(N)中有界且在其边界上光滑的C2区域,N≥1,■。In this paper,we firstly establish an global bifurcation result for the problems involving jumping nonlinearities with mean curvature operator in Minkowski space.As applications of the above results,we study the existence of solutions for the following problem ■ where λ ≠ 0 is a real parameter,Ω is a general C~2 bounded domain in R~N with a smooth boundary ?Ω and N ≥ 1。

关 键 词：平均曲率算子 含跳跃非线性项问题 解的全局分歧 

分 类 号：O175.8[理学—数学]