Non-zero Solution for the Quasi-linear Elliptic Equation 被引量：2

Non-zero Solution for the Quasi-linear Elliptic Equation

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摘要 In this paper, the author has given an existence theorem for the resonant equation,-△pu=λ1｜u｜p-2u＋f（u）＋h（x）,without any Landesman-Lazer conditions on h（x）.

作者 RAO Ruo-feng HE Qing-gao

机构地区 Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期117-124,共8页 数学季刊（英文版）

基金 Foundation item： Supported by the Sichuan Educational Comittee Science Foundation for Youths（08ZB002） Supported by the National Secience Foundation of Yibin University（2008Z02）

关键词 P-LAPLACIAN non-zero solution first eigenvalue saddle point theorem 拟线性椭圆型方程非零解存在性定理

分类号 O175.25 [理学—基础数学] O177.91 [理学—基础数学]

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参考文献1

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共引文献8

1饶若峰.具临界指数椭圆方程-Δu=λ_κu+|u|^(2^*-2)u+f(x,u)非平凡多解存在性[J].数学年刊（A辑）,2005,26(6):749-754. 被引量：12
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5黄家琳,陈世群.一类椭圆方程非平凡解注[J].宜宾学院学报,2009,9(12):3-4.
6黄家琳.涉及任意特征值的椭圆方程非平凡多解的存在性[J].宜宾学院学报,2010,10(6):6-7.
7李兴贵,黄家琳.不动点技巧在反应扩散模糊随机周期时滞系统稳定性分析中的应用[J].西南大学学报（自然科学版）,2019,41(6):64-72. 被引量：6
8车平.一类椭圆方程多解问题[J].成都师范学院学报,2019,35(7):121-124.

同被引文献8

1饶若峰.涉及第一特征值和临界指数的一类椭圆方程[J].数学进展,2004,33(6):703-711. 被引量：9
2黄家琳.一类非线性常微分方程解的存在性[J].宜宾学院学报,2010,10(12):13-15. 被引量：1
3Mei Yue JIANG.A Landesman-Lazer Type Theorem for Periodic Solutions the Resonant Asymmetric p-Laplacian Equation[J].Acta Mathematica Sinica,English Series,2005,21(5):1219-1228. 被引量：1
4饶若峰.具临界指数椭圆方程-Δu=λ_κu+|u|^(2^*-2)u+f(x,u)非平凡多解存在性[J].数学年刊（A辑）,2005,26(6):749-754. 被引量：12
5宋树枝.两点边值拟线性椭圆方程共振问题的注记[J].重庆工商大学学报（自然科学版）,2006,23(3):234-239. 被引量：1
6王雄瑞.半线性椭圆型方程解的存在性[J].宜宾学院学报,2009,9(12):5-8. 被引量：1
7张小美.具有Landesman-Lazer型条件的二阶不对称非线性方程的周期边值问题的周期解[J].常州技术师范学院学报,1999,5(2):33-39. 被引量：1
8Zhiqing Han Department of Applied Mathematics.Dalian University of Technology,Dalian 116024,P.R.China.Solvability of Elliptic Boundary Value Problems without Standard Landesman-Lazer Condition[J].Acta Mathematica Sinica,English Series,2000,16(2):349-359. 被引量：1

引证文献2

1饶若峰,王雄瑞.没有Landesman-Lazer型条件的拟线性强振动方程之无穷多解[J].数学物理学报（A辑）,2012,32(4):744-752. 被引量：1
2车平.一类椭圆方程多解问题[J].成都师范学院学报,2019,35(7):121-124.

二级引证文献1

1李兴贵,黄家琳.不动点技巧在反应扩散模糊随机周期时滞系统稳定性分析中的应用[J].西南大学学报（自然科学版）,2019,41(6):64-72. 被引量：6

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Chinese Quarterly Journal of Mathematics

2009年第1期

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