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

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。