TY - JOUR
T1 - Asymptotic behaviors of governing equation of gauged sigma model for Heisenberg ferromagnet
AU - Chen, Huyuan
AU - Zhou, Feng
N1 - Publisher Copyright:
© 2020 Elsevier Ltd
PY - 2020/7
Y1 - 2020/7
N2 - In this note, we study weak solutions of equation [Formula presented] where {δpi }i=1 N (resp. {δqj }j=1 M ) are Dirac masses concentrated at the points pi,i=1,…,N, (resp. qj,j=1,…,M) and N−M>1. Eq. (0.1) represents a governing equation of gauged sigma model for Heisenberg ferromagnet. We show that it has a sequence of solutions uβ having behaviors as −βln|x|+O(1) at infinity with a free parameter β∈(2,2(N−M)), and our concern in this paper is to study the asymptotic behavior of bβ as β approaching the extremal values 2 and 2(N−M).
AB - In this note, we study weak solutions of equation [Formula presented] where {δpi }i=1 N (resp. {δqj }j=1 M ) are Dirac masses concentrated at the points pi,i=1,…,N, (resp. qj,j=1,…,M) and N−M>1. Eq. (0.1) represents a governing equation of gauged sigma model for Heisenberg ferromagnet. We show that it has a sequence of solutions uβ having behaviors as −βln|x|+O(1) at infinity with a free parameter β∈(2,2(N−M)), and our concern in this paper is to study the asymptotic behavior of bβ as β approaching the extremal values 2 and 2(N−M).
KW - Asymptotic behavior
KW - Dirac mass
KW - Gauged sigma model
UR - https://www.scopus.com/pages/publications/85079278357
U2 - 10.1016/j.na.2020.111788
DO - 10.1016/j.na.2020.111788
M3 - 文章
AN - SCOPUS:85079278357
SN - 0362-546X
VL - 196
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
M1 - 111788
ER -