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

作     者：Jianjun Zhang Xuexiu Zhong Huansong Zhou 

作者机构：College of Mathematics and StatisticsChongqing Jiaotong UniversityChongqing 400074China South China Research Center for Applied Mathematics and Interdisciplinary StudiesSouth China Normal UniversityGuangzhou 510631China Center for Mathematical Sciences and Department of MathematicsWuhan University of TechnologyWuhan 430070China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2023年第66卷第10期

页      面：2243-2260页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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). 

主　　题：elliptic equation bifurcation point essential spectrum 

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).