N. Akhmediev, A. Ankiewicz, Partially Coherent Solitons on a Finite Background, Phys. Rev. Lett. 82(1999), 2661, 1-4.
 K. Arthur, D. H. Tchrakian and Y. Yang, Topological and nontopological self-dual Chern-Simons soli¬tons in a gauged O(3) σ model, Phys. review D 54(1996), no.8, 5245-5258.
 T. Bartsch, Z.-Q. Wang and J. Wei , Bound states for a coupled Schr¨odinger system, J. ﬁxed point theory appl. 2 (2007), 353-367.
 J. Busca, B. Sirakov, Symmetry results for semilinear elliptic systems in the whole space, J. Diﬀerential Equations 163 (2000) , 41-56.
 D.Chae and H.-S.Nam, Multiple Existence of the Multivortex Solutions of the Self-Dual Chern-Simons CP (1) Model on a Doubly Periodic Domain, Lett.Math.Phy. 49(1999), 297-315.
 H. Chan, C.-C. Fu, and C.-S. Lin, Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation, Comm. Math. Phys. 231(2002), 189-221.
 C.-C. Chen and C.-S. Lin, Uniqueness of the ground state solutions of ∆u + f(u)=0 in Rn ,n ≥ 3, Comm. Partial Diﬀerential Equations 16 (1991), 1549–1572.
 W. Chen and C. Li, Classiﬁcation of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991), 615-622.
 Z.-Y. Chen, Topological solutions for self-dual Chern-Simons CP (1) model with large Chern-Simons coupling constant, Proc. Amer. Math. Soc. 144 (2016), 191-203.
 Z.-Y. Chen and J.-L. Chern, The Analysis of Solutions for Maxwell-Chern-Simons O(3) Sigma Model, Preprint.
 Z.-Y. Chen and J.-L. Chern, Sharp Range of Flux and the Structure of Solutions for Self-Dual Maxwell-Chern-Simons O(3) Sigma Model, Preprint.
 Z.-Y. Chen, J.-L. Chern, J.-P. Shi, Y.-L. Tang , On the uniqueness and structure of solutions to a coupled elliptic system, J. Diﬀerential Equations 249 (2010), 3419-3442.
 K.-S. Cheng, J.-L. Chern , Existence of positive entire solutions of Some Semilinear Elliptic Equations,
J. Diﬀerential Equations 98 (1992), 169-180.
 K.-S. Cheng and C.-S. Lin, On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in R2, Math. Annalen 308(1997), 119-139.
 J.-L. Chern, Z.-Y. Chen, J.-H. Chen, Y.-L. Tang , On the Classiﬁcation of Standing Wave Solutions for the Schr¨odinger Equation, Communications in Partial Diﬀerential Equations, 35 (2010), 275-301.
 J.-L. Chern, Z.-Y. Chen, H.-Y. Shen, Classiﬁcation of Solutions for Self-Dual Chern-Simons CP(1) Model, submitted 2020.
 J.-L. Chern, S. Yotsutani, N. Kawano, A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems, Proceedings of Equadiﬀ, pp.(2017),283-286
 K. Choe, Existence of nontopological solutions in the Chern-Simons gauged O(3) sigma models, Preprint.
 K. Choe and J. Han, Existence and properties of radial solutions in the self-dual Chern-Simons O(3) sigma model, J. Math. Phys. 52(2011), no.8, 082301, 20 pp.
 K. Choe, J. Han, and C.-S. Lin, Bubbling solutions for the Chern-Simons gauged O(3) sigma model in R2, Discrete Cont. Dyn. Syst. 34 (2014), no. 7, 2703V2728.
 K. Choe, J. Han, C.-S. Lin and T.-C. Lin, Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged O(3) sigma models, J. Diﬀerential Equations 255(2013),2136¬2166.
 K. Choe and H.-S. Nam, Existence and Uniqueness of topological multivortex solutions in the self-dual Chern-Simons CP (1) model, Nonlinear Analysis 66,(2007), 2794-2813.
 N. Choi and J. Han, Remarks on nontopological solutions in the self-dual Chern-Simons gauged O(3) sigma models, Bull. Korean Math. Soc. 53(2016), no.3, 765V777.
 B. Gidas, W.-M. Ni, L. Nirenberg , Symmetry of positive solutions of nonlinear elliptic equations in Rn, Math. Anal. Appl. Part A. 7A (1981), 369-402.
 B. Gidas, J. Spruck , Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 36 (1981), 525-598.
 Jongmin Han and Kyungwoo Song, Existence and Asymptotic of Topological Solutions in the Self-Dual Maxwell-Chern-Simons O(3) Sigma Model, J. Diﬀ. Eqn. 250(2011), 204-222.
 R. Johnson, X. Pan, Y. Yi , : Singular Ground States of Semilinear Elliptic Equations Via Invariant Manifold Theory, Nonlinear Analysis, Theory, Methods and Applications, Vol. 20 (1993), 1279-1302.
 D. Joseph, T. Lundgren , Quasilinear Dirichlet problems driven by positive sources, Arch. Rat. Mech. Anal. 49, pp(1973), 241-269.
 M.-K. Kwong, Uniqueness of positive solutions of ∆u − u + up =0 in Rn, Arch. Rational Mech. Anal. 105 (1989), 243–266.
 C-M. Li, L. Ma , Uniqueness of Positive Bound States to Schr¨odinger Systems with Critical Exponents, SIAM J. Math. Anal. 40 , no. 3 (2008), 1049-1057.
 T.-C. Lin , J. Wei , Ground state of N Coupled Nonlinear Schr¨odinger Equations in Rn , n ≤ 3, Comm. Math. Phys. 255 (2005), 629-653.
 P.L.Lions , On the Existence of Positive Solutions of Semilinear Elliptic Equations, Siam Review, V24, N4 (1982), 441-467.
 K. Mcleod, Uniqueness of positive radial solutions of ∆u + f(u)=0 in Rn,II, Trans. of AMS. 339(2) (1993), 495-505.
 W.-M. Ni , On the elliptic equation ∆u + k(x)u =0, its generalizations, and applications in geometry, Indiana Univ. Math. J. 31 (1982), 493-529.
 W.-M. Ni, J. Serrin, Nonexistence theorems for singular solutions of quasilinear partial diﬀerential equations, Comm. Pure Appl. Math. 39 (1986), 379-399.
 X. Pan , Positive solution of ∆u + k(x)up =0 without decay condition on k(x), Proceeding of the American Mathematical Society, V115, N3 (1992), 699-710.
 D.H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. Journal 21 (1972). 979-1000
 J. Spruck and Y. Yang, Topological solutions in the self-dual Chern-Simons theory: existence and approximation, Ann. Inst. H. Poincar´e Anal. Non Lin´eaire 12(1995), 75-97.
 Y. Yang, Solitons in Filed Theory and Nonlinear Analysis, Springer Monographs in Mathematics, Springer-Verlag, New York, 2001.