A SIGN CHANGING SOLUTION FOR ELLIPTIC EQUATION WITH SUBLINEAR TERM AT ORIGIN  

作　　者：Wu Shaoping Sun Yijing Dept. of Math., Zhejiang Univ., Hangzhou 310027. Nankai Institute of Math., Nankai Univ., Tianjin 300071. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2001年第1期11-18,共8页高校应用数学学报（英文版）（B辑）

基　　金：This research is supported by NNSFC(1 9771 0 72 ) and ZNSF.And thanks to JNCASR in India Fortheir host when the firstauthor is

摘　　要：It is proved that the semilinear elliptic problem with zero boundary value -Δ u=λu-|u| q-1 u has a changing sign solution, as q∈(0,1) and λ>λ 2 , where λ 2 is the second eigenvalue of the operator -Δ in the space H 1 0(Ω).It is proved that the semilinear elliptic problem with zero boundary value -Δ u=λu-|u| q-1 u has a changing sign solution, as q∈(0,1) and λ>λ 2 , where λ 2 is the second eigenvalue of the operator -Δ in the space H 1 0(Ω).

关 键 词：Sign  changing solution elliptic equation sublinear term. 

分 类 号：O175[理学—数学]