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MULTIPLICITY AND CONCENTRATION BEHAVIOUR OF POSITIVE SOLUTIONS FOR SCHRODINGER-KIRCHHOFF TYPE EQUATIONS INVOLVING THE p-LAPLACIAN IN R~N

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成果类型:
期刊论文
作者:
Jia, Huifang;Li, Gongbao*
通讯作者:
Li, Gongbao
作者机构:
[Li, Gongbao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
通讯机构:
[Li, Gongbao] C
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
Schrodinger-Kirchhoff type equation;variational methods;multiple positive solutions;concentrating solution;penalization method
关键词(中文):
拉普拉斯算符;算符方程;复合;行为;极解;操作符;和集
期刊:
数学物理学报(英文版)
ISSN:
0252-9602
年:
2018
卷:
38
期:
2
页码:
391-418
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371159, 11771166]; Hubei Key Laboratory of Mathematical Sciences; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT_17R46]
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 article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrodinger-Kirchhoff type -epsilon M-p(epsilon(p-N)integral(RN)vertical bar del u vertical bar(p))Delta(p)u + V(x)vertical bar u vertical bar(p-2)u = f(u) in R-N, where Delta(p) is the p-Laplacian operator, 1 < p < N, M : R+ -> R+ and V : R-N -> R+ are continuous functions, epsilon is a positive parameter, and f is a continuous function with subcritical growth. We assume that. V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational met...

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