A Landesman-Lazer Type Theorem for Periodic Solutions the Resonant Asymmetric p-Laplacian Equation  

作　　者：Mei Yue JIANG 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2005年第5期1219-1228,共10页数学学报（英文版）

基　　金：This work is supported by NSFC,RFDP of the Ministry of Education of China ;the 973 Project of the Ministry of Science and Technology of China

摘　　要：In this paper, we give a Landesman-Lazer type theorem for periodic solutions of the asymmetric 1-dimensional p-Laplacian equation -（｜x＇｜^p-2x＇）＇=λ｜x｜^p-2x＋＋μ｜x｜^p-2x-＋f（t,x）with periodic boundary value.In this paper, we give a Landesman-Lazer type theorem for periodic solutions of the asymmetric 1-dimensional p-Laplacian equation -（｜x＇｜^p-2x＇）＇=λ｜x｜^p-2x＋＋μ｜x｜^p-2x-＋f（t,x）with periodic boundary value.

关 键 词：ρ-Laplacian equation Periodic solution Landesman-Lazer theorem 

分 类 号：O175[理学—数学]