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We study the existence and asymptotic behavior of least energy sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growthwhereare constants andUnder some suitable assumptions on, we apply the constraint minimization argument to establish a least energy sign-changing solutionwith precisely two nodal domains. Moreover, we show that the energy ofis strictly larger than two times of the ground state energy and analyze the asymptotic behavior ofas. Our results generalize the existing ones, see Li G. et al. (Sign-changing solutions to a gauged nonlinear Schrödinger equation. J Math Anal Appl. 2017;455:1559–1578) and Liu Z. et al. (Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in. Nonlinearity. 2019;32:3082–3111) for example, to the gauged nonlinear Schrödinger equation with critical exponential growth.

Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth