期刊论文

Yang, Jun

英文

Journal of Mathematical Analysis and Applications

0022-247X

2020

491

2

124347

10.1016/j.jmaa.2020.124347

J. Yang is supported by NSFC (No. 11771167 & No. 11831009 ). The first author thanks Dr. Z. Chen for his useful discussions on the proof of Proposition 2.4 . We thank the referees for their useful comments and suggestions.

本校为第一机构

Given p > 2 for the following coupled p-Ginzburg-Landau model in R-2 -Delta(p)u(+) + [A(+)(vertical bar u(+)vertical bar(2) - t(+2)) + A(0)(vertical bar u(-)vertical bar(2) - t(-2))]u(+) = 0, -Delta(p)u(-) + [A(+)(vertical bar u(-)vertical bar(2) - t(-2)) + A(0)(vertical bar u(+)vertical bar(2) - t(+2))]u(-) = 0, with the constraints A(+), A(-) > 0. A(0)(2) < A(+)A(-) and t(+), t(-) > 0, we consider the existence of symmetric vortex solutions u(x) = (U-p(+)(r)e(in+theta), U-p(-)(r)e(in-theta )with given degree (n(+), n(-)) is an element of Z(2), and then prove the uniqueness and regularity res...