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• W2890619839 abstract "In this paper, we study the existence and asymptotic behavior of least energy sign-changing solutions for the nonlinear Chern–Simons–Schrödinger equations −Δu+ωu+λh2(|x|)|x|2+∫|x|∞h(s)su2(s)dsu=f(u), x∈R2,u∈Hr1(R2), where ω, λ>0, f∈C(R,R) and h(s)=12∫0sru2(r)dr. 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 uλ with precisely two nodal domains. Furthermore, we show that the energy of uλ is strictly larger than two times of the least energy, and present a convergence property of uλ as λ→0+. Finally, we also prove that the above results are valid for the Chern–Simons–Schrödinger equations with steep well potential." @default.
• W2890619839 created "2018-09-27" @default.
• W2890619839 creator A5040232228 @default.
• W2890619839 creator A5063253432 @default.
• W2890619839 date "2018-09-10" @default.
• W2890619839 modified "2023-09-23" @default.
• W2890619839 title "Sign-changing solutions for the nonlinear Chern–Simons–Schrödinger equations" @default.
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• W2890619839 doi "https://doi.org/10.1080/00036811.2018.1514020" @default.
• W2890619839 hasPublicationYear "2018" @default.
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