浙江大学学报（理学版）2024，Vol.51Issue(4)：443-449,7.DOI:10.3785/j.issn.1008-9497.2024.04.007
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
摘要
Abstract
In this paper,we firstly establish an global bifurcation result for the problems involving jumping non-linearities with mean curvature operator in Minkowski space.As applications of the above results,we study the existence of solutions for the following problem{-div(▽u/√1-|▽u|2)=α(x)u++β(x)u-+λa(x)f(u),x∈Ω,u=0,x∈∂Ω,where λ≠0 is a real parameter,Ω is a general C2 bounded domain in RN with a smooth boundary ∂Ω and N≥1,a∈C((Ω),(0,∞)),u+=max{u,0},u-=min{-u,0},α,β∈C((Ω));f∈C(R,R),sf(s)>0 for s≠0,and f0∈[0,∞],where f0=lim|s|→0 f(s)/s.关键词
平均曲率算子/含跳跃非线性项问题/解的全局分歧Key words
mean curvature operator/the problems involving jumping non-linearities/global bifurcation of solutions分类
数理科学引用本文复制引用
沈文国..一般区域上含跳跃项平均曲率算子方程解的全局分歧[J].浙江大学学报（理学版）,2024,51(4):443-449,7.基金项目
国家自然科学基金资助项目(11561038). （11561038）
