拟线性椭圆方程非零解

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 117-124.

拟线性椭圆方程非零解

Department of Mathematics, Yibin College

收稿日期:2005-10-13 出版日期:2009-03-30 发布日期:2023-09-08
作者简介: RAO Ruo-feng(1969-), male, native of Fuzhou, Jiangxi, an associate professor Yibin College, M.S.D., engages in partial differential equation.
基金资助:
Supported by the Sichuan Educational Comittee Science Foundation for Youths(08ZB002)； Supported by the National Secience Foundation of Yibin University(2008Z02)；

Non-zero Solution for the Quasi-linear Elliptic Equation

Department of Mathematics, Yibin College

Received:2005-10-13 Online:2009-03-30 Published:2023-09-08
About author: RAO Ruo-feng(1969-), male, native of Fuzhou, Jiangxi, an associate professor Yibin College, M.S.D., engages in partial differential equation.
Supported by:
Supported by the Sichuan Educational Comittee Science Foundation for Youths(08ZB002)； Supported by the National Secience Foundation of Yibin University(2008Z02)；

摘要/Abstract

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).

关键词: p-Laplacian, non-zero solution, first eigenvalue, saddle point theorem

Abstract: 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).

Key words: p-Laplacian, non-zero solution, first eigenvalue, saddle point theorem

中图分类号:

O175.25

饶若峰, 何庆高. 拟线性椭圆方程非零解[J]. 数学季刊, 2009, 24(1): 117-124.

RAO Ruo-feng, HE Qing-gao. Non-zero Solution for the Quasi-linear Elliptic Equation[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 117-124.

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