ABSTRACT
In this paper, we study the existence and asymptotic behavior of least energy sign-changing solutions for the nonlinear Chern–Simons–Schrödinger equations
where
,
and
Under suitable assumptions on f, we use some analytical skills and constraint minimization method to show that the above problem admits one least energy sign-changing solution
with precisely two nodal domains. Furthermore, we show that the energy of
is strictly larger than two times of the least energy, and present a convergence property of
as
. Finally, we also prove that the above results are valid for the Chern–Simons–Schrödinger equations with steep well potential.
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Disclosure statement
No potential conflict of interest was reported by the author.
ORCID
Weihong Xie http://orcid.org/0000-0002-1762-988X