Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities  

作　　者：Jianjun Zhang Xuexiu Zhong Huansong Zhou 

机构地区：[1]College of Mathematics and Statistics,Chongqing Jiaotong University,Chongqing 400074,China [2]South China Research Center for Applied Mathematics and Interdisciplinary Studies,South China Normal University,Guangzhou 510631,China [3]Center for Mathematical Sciences and Department of Mathematics,Wuhan University of Technology,Wuhan 430070,China

出　　处：《Science China Mathematics》2023年第10期2243-2260,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11801581,11871123,11931012 and 12271184);Guangdong Basic and Applied Basic Research Foundation(Grant Nos.2021A1515010034 and 2018A030310082);Guangzhou Association for Science and Technology(Grant No.202102020225);Chongqing Science and Technology Bureau(Grant No.JDDSTD201802);Chongqing University Science Foundation(Grant No.CXQT21021).

摘　　要：In this paper,based on some prior estimates,we show that the essential spectrum λ=0 is a bifurcation point for a superlinear elliptic equation with only local conditions,which generalizes a series of earlier results on an open problem proposed by Stuart(1983).

关 键 词：elliptic equation bifurcation point essential spectrum 

分 类 号：O175.25[理学—数学]