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Multiplicity for Nonlinear Elliptic Boundary Value Problems of p-Laplacian Type Without Ambrosetti-Rabinowitz Condition

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成果类型:
期刊论文
作者:
Li, Gong-bao*;Li, Ying-hong
通讯作者:
Li, Gong-bao
作者机构:
[Li, Gong-bao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Li, Gong-bao] C
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
existence;four solutions;p-Lalaplacian;without Ambrosetti-Rabinowitz condition
关键词(中文):
非线性椭圆边值问题;拉普拉斯型;多重性;偏微分方程;成果推广;微积分;定理;数学
期刊:
应用数学学报:英文版
ISSN:
0168-9673
年:
2015
卷:
31
期:
1
页码:
157-180
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071095, 11371159]; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT13066]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we study the existence of multiple solutions to the following nonlinear elliptic boundary value problem of p-Laplacian type: {-Delta(p)u = f(x,u), x is an element of Omega, u = 0, x is an element of partial derivative Omega, where 1 < p < infinity, Omega subset of R-N is a bounded smooth domain, Delta(p)u = div (vertical bar Du vertical bar(p-2)Du) is the p-Laplacian of u and f: Omega x R -> R satisfies lim(vertical bar t vertical bar ->infinity) f(x, t)/vertical bar t vertical bar(p-2)t = l uniformly with respect to x is an element of Omega, and l is not an eigenvalue of -Delta...

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