期刊论文

Shuai, Wei

英文

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

1078-0947

2018

38

6

3139-3168

10.3934/dcds.2018137

The authors would like to thank the anonymous referees for carefully reading this paper and making valuable comments and suggestions. This research was supported by the program for Changjiang Scholars and Innovative Research Team in University No.IRT 17R46 and the Natural Science Foundation of China (11501231,11771170,11701203). The second author also supported by the Shun Hing’s Endowed Professorship Fund of the Chinese University of Hong Kong.

本校为第一且通讯机构

We are interested in the existence of sign-changing multi-bump solutions for the following Kirchhoff equation -(a + b integral(R3) vertical bar del u vertical bar(2) dx)Delta u + lambda V(x)u = f(u), x is an element of R-3, where lambda > 0 is a parameter and the potential V(x) is a nonnegative continuous function with a potential well Omega := int(V (-1)(0)) which possesses k disjoint bounded components Omega(1), Omega(2), . . . , Omega(k). Under some conditions imposed on f(u), multiple sign-changing multi-bump solutions are obtained. Moreover, the concentratio...