期刊论文

Deng, Yinbin;Shuai, Wei

英文

Journal of Differential Equations

0022-0396

2018

264

6

4006-4035

10.1016/j.jde.2017.12.003

The research was supported by the Natural Science Foundation of China ( 11771170 , 11571130 , 11328101 , 11701203 ) and the program for Changjiang Scholars and Innovative Research Team in University No. IRT_17R46. The third author also was supported by the self-determined research funds of CCNU from the colleges' basic research and operation of MOE (No. CCNU16A05042 ) and the Shun Hing's Endowed Professorship Fund of the Chinese University of Hong Kong . The research was supported by the Natural Science Foundation of China (11771170, 11571130, 11328101, 11701203) and the program for Changjiang Scholars and Innovative Research Team in University No. IRT_17R46. The third author also was supported by the self-determined research funds of CCNU from the colleges' basic research and operation of MOE (No. CCNU16A05042) and the Shun Hing's Endowed Professorship Fund of the Chinese University of Hong Kong.

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This paper investigates the existence and asymptotic behavior of nodal solutions to the following gauged nonlinear Schrodinger equation {-Delta u+omega u+(h(2)(vertical bar x vertical bar)/vertical bar x vertical bar(2) +integral(+infinity)(vertical bar x vertical bar) h(s)/su(2) (s)ds) = lambda vertical bar u vertical bar(p-2)u, x is an element of R-2, u(x) = u(vertical bar x vertical bar) is an element of H-1 (R-2), where omega, lambda > 0, p > 6 and h(s) = 1/2 integral(s)(0) ru(2)(r)dr is the so-called Chern-Simons term. We prove that for any positive integer k, the problem has a signchangi...