Bifurcation Problems for a Class of Degenerate Quasilinear Elliptic Equations

作     者：Yun-xiang Li Yu Ye Fang-li Xia 

作者机构：Department of Mathematics Hunan City University Yiyang 413049 China Department of Mathematics Changsha University of Science and Technology Changsha 410076 China Department of Mathematics Central South University Changsha 410075 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2010年第26卷第3期

页      面：395-404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 the National Natural Science Foundation of China (No. 10671211) 

主　　题：Quasilinear elliptic equation bifurcation principal eigenvalue 

摘      要：In this paper we consider the bifurcation problem -div A（x, u）=λa（x）｜u｜^p-2u＋f（x,u,λ） in Ω with p 〉 *** some proper assumptions on A（x,ξ）,a（x） and f（x,u,λ）,we show that the existence of an unbounded branch of positive solutions bifurcating Irom the principal eigenvalue of the problem --div A（x, u）=λa（x）｜u｜^p-2u.