Yi Li's Publications

Li, Yi; Zhao, Chunshan Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem, Journal of Mathematical Analysis and Applications, accepted.

Chen, Hongbin; Li, Yi Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearitie, Proceedings of AMS, accepted.

Li, Yi; Zhao, Chunshan On the shape of least-energy solutions for a class of quasilinear elliptic Neumann problems, IMA Journal of Applied Mathematics, accepted.

Deng, Yinbin; Guo, Yujin; Li, Yi Existence and decay properties of positive solutions for an inhomogeneous semilinear elliptic equation, Proceedings of the Royal Society of Edinburgh Sect. A, accepted.

Chen, Hongbin; Li, Yi Existence, uniqueness, and stability of periodic solutions of an equation of Duffing-type , Discrete and Continuous Dynamical Systems A, accepted.

Deng, Yinbin; Li, Yi Exponential decay for nonlinear biharmonic equations, Communications in Contemporary Mathematics, accepted.

Li, Yi; Liu, Zhaoli; Zhao, Chunshan Nodal solutions of a perturbed elliptic problem , Topological Methods in Nonlinear Analysis , accepted.

Hou, Xiaojie; Korman, Philip; Li, Yi On the direction of pitchfork bifurcation, Proceeding of the MSU-UAB Conference, Electron. J. Diff. Eqns15 (2007), 153-158. email for a copy

Rivera, Joaquin; Li, Yi On the exact multiplicity of solutions for boundary-value problems via computing the direction of bifurcations, Proceeding of the MSU-UAB Conference, Electron. J. Diff. Eqns 15 (2007), 239-249. email for a copy

Chen, Hongbin; Li, Yi Rate of decay of stable periodic solutions of Duffing equations, J. Differential Equations 236 (2007), no. 2, 493-503.

Wang, Wendi; Li, Yi; Hethcote, Herbert. W. Bifurcations in a host-parasite model with nonlinear incidence, International Journal of Bifurcation and Chaos 16 (2006), no. 11, 3291-3307. email for a copy

Coskun, Huseyin; Li, Yi; Mackey, Michael A. Ameboid cell motility: a model and inverse problem, with an application to live cell imaging data, Journal of Theoretical Biology. 244 (2007), no. 2, 169-179. email for a copy

Li, Yi; Zhao, Chunshan Existence, uniqueness and decay properties of strong solutions to an evolutionary system of MHD type in R3, J. Dynam. Differential Equations 18 (2006), no. 2, 393-426. email for a copy

Wang, G.; Qian, X.; Cong, W.; Shen, H.; Li, Y.; Han, W. M.; Durairaj, K.; Jiang, M.; Zhou, T.; Cheng, J. T.; Tian, J.; Lv, Y. J.; Li, H.; Luo, J. Recent development in bioluminescence tomography, Current Medical Imaging Reviews, 2 (4) (2006), 453-457. email for a copy

Deng, Yinbin; Li, Yi; Yang, Fen On the stability of the positive radical steady states for a nonhomogeneous semilinear Cauchy problem, J. Differential Equations 228 (2006)507-529. email for a copy

Galstyan, A; Korman, Philip; Li, Yi On the oscillations of the solution curve for a class of semilinear equations , Journal of Mathematical Analysis and Applications 321 (2006), no. 2, 576-588. email for a copy

Deng, Yinbin; Li, Yi Branches of solutions to semilinear biharmonic equations on R^N , Proceedings of the Royal Society of Edinburgh Sect. A  136 (2006), no. 4, 733—758. email for a copy

Hou, Xiaojie; Li, Yi Local Stability of Traveling wave solutions of Nonlinear Reaction Diffusion Equations , Discrete and Continuous Dynamical Systems A, 15 (2006), 681-701. email for a copy

Hethcote H. W.; Wang Wendi; Li, Yi Species Coexistence and Periodicity in Host-Host-Pathogen Models, Journal of Mathematical Biology v51#6 (2005), 629-660. email for a copy

Korman, Philip; Li, Yi; Ouyang, Tiancheng Computing the location and the direction of bifurcation , Mathematical Research Letters (2005), no. 5-6, 933-944. email for a copy

Li, Yi; Jiang, Ming; Wang, Ge Computational Optical Biopsy , BioMedical Engineering OnLine (2005), 1-7. email for a copy

Li, Yi; Zhao, Chunshan A Note on Exponential Decay Properties of Ground States for Quasilinear Elliptic Equations , Proceedings of AMS 133 (2005), 2005-2012. email for a copy

Li, Yi; Zhao, ChunShan Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains, Discrete and Continuous Dynamical Systems 12 (2005), 185-192. email for a copy

Li, Yi; Zhao, ChunShan On the Structure of Solutions to a Class of Quasilinear Elliptic Neumann Problems, Journal of Differential Equations 212 (2005), 208-233. email for a copy

Wang, Ge; Li, Yi; Jiang, Ming Uniqueness Theorems in Bioluminescence Tomography, Medical Physics 31 (2004), 2289--2299. email for a copy

Chen, Hongbin; Li, Yi Exact Multiplicity for Periodic Solutions of a First-Order Differential Equation. Journal of Mathematical Analysis and Applications, 292/2(2004), 415-422. email for a copy

Chen, Hongbin; Li, Yi; Hou, Xiaojie Exact multiplicity for periodic solutions of Duffing type. Nonlinear Analysis. Theory, Methods & Applications 55 (2003), no. 1-2, 115--124.  email for a copy

Deng, Yinbin; Li, Yi; Liu, Yi On the stability of the positive radial steady states for a semilinear Cauchy problem. Nonlinear Analysis. Theory, Methods & Applications 54 (2003), no. 2, 291--318. email for a copy

Li, Yi; Qi, Yuanwei The global dynamics of isothermal chemical systems with critical nonlinearity. Nonlinearity 16 (2003), 1057—1074. email for a copy

Korman, Philip; Li, Yi; Ouyang, Tiancheng Perturbation of global solution curves for semilinear problems. Advanced Nonlinear Studies 3 (2003), no. 2, 289--299. email for a copy

Deng, Yinbin; Li, Yi; Zhao, Xuejin Multiple solutions for an inhomogeneous semilinear elliptic equation in RN . Acta Math. Sci. Ser. B Engl. Ed. 23 (2003), no. 1, 1--15. 35J60 (35J20) email for a copy   

Deng, Yinbin; Li, Yi On the existence of multiple positive solutions for a semilinear problem in exterior domains. J. Differential Equations 181 (2002), no. 1, 197--229. 35J60 (35B05 35J25) email for a copy

Deng, Yinbin; Li, Yi; Zhao, Xuejin Multiple solutions and bifurcation of nonhomogeneous semilinear elliptic equations in RN . Progress in nonlinear analysis (Tianjin, 1999), 81--102, Nankai Ser. Pure Appl. Math. Theoret. Phys., 6, World Sci. Publishing, River Edge, NJ, 2000. 35J60 (35J20 47J15 58E07) email for a copy

Korman, Philip; Li, Yi Infinitely many solutions at a resonance. Proceedings of the Conference on Nonlinear Differential Equations (Coral Gables, FL, 1999), 105--111 (electronic), Electron. J. Differ. Equ. Conf., 5, Southwest Texas State Univ., San Marcos, TX, 2000. 34B15 (34C23) email for a copy

Liu, Yi; Li, Yi; Deng, Yinbin Stability of a semilinear Cauchy problem. Partial differential equations and their applications (Wuhan, 1999), 180--199, World Sci. Publishing, River Edge, NJ, 1999. 35K55 (34A12 35B05 35B35 35C20) email for a copy

Liu, Yi; Li, Yi; Deng, Yinbin Separation property of solutions for a semilinear elliptic equation. J. Differential Equations 163 (2000), no. 2, 381--406. (Reviewer: Alan V. Lair) 35J60 (35B05 35B40) email for a copy

Hethcote, H. W.; Li, Yi; Jing, Zhujun Hopf bifurcation in models for pertussis epidemiology. Math. Comput. Modelling 30 (1999), no. 11-12, 29--45. 92D30 (34C23 34C60 37N25)  email for a copy

Korman, Philip; Li, Yi On the exactness of an S-shaped bifurcation curve. Proc. Amer. Math. Soc. 127 (1999), no. 4, 1011--1020. 34B15 (34C23) email for a copy

Korman, Philip; Li, Yi Generalized averages for solutions of two-point Dirichlet problems. J. Math. Anal. Appl. 239 (1999), no. 2, 478--484. 34B18 email for a copy

Cac, Nguyen Phuong; Gatica, Juan A.; Li, Yi Positive solutions to semilinear problems with coefficient that changes sign. Nonlinear Anal. 37 (1999), no. 4, Ser. A: Theory Methods, 501--510. 35J65 (35B05) email for a copy

Li, Yi Exact multiplicity of positive solutions of some elliptic problems. Bifurcation theory & its numerical analysis (Xi'an, 1998), 133--144, Springer, Singapore, 1999. 35J65 (34B15 34B18 35B05 47J15 58E05) email for a copy

Wang, G; Li, Y Axiomatic approach for quantification of image resolution. IEEE Signal Processing Letters 6:257-258, 1999. email for a copy

Cranston, Michael; Li, Yi Eigenfunction and harmonic function estimates in domains with horns and cusps. Comm. Partial Differential Equations 22 (1997), no. 11-12, 1805--1836. 35J05 (35B45 35P15) email for a copy

Bebernes, Jerrold W.; Li, Comgming; Li, Yi Travelling fronts in cylinders and their stability. Rocky Mountain J. Math. 27 (1997), no. 1, 123--150. 35K57 (35B40) email for a copy

Korman, Philip; Li, Yi; Ouyang, Tiancheng An exact multiplicity result for a class of semilinear equations. Comm. Partial Differential Equations 22 (1997), no. 3-4, 661--684. 35J60 (34B15 35B32 47H15 47N20) email for a copy

Deng, Yinbing; Li, Yi Existence of multiple positive solutions for a semilinear elliptic equation. Adv. Differential Equations 2 (1997), no. 3, 361--382. 35J60 (35B05 35B32) email for a copy

Korman, Philip; Lazer, Alan C.; Li, Yi On homoclinic and heteroclinic orbits for Hamiltonian systems. Differential Integral Equations 10 (1997), no. 2, 357--368. 34C37 (58E05 58F05 70H05) email for a copy

Deng, Yinbin; Li, Yi Existence and bifurcation of the positive solutions for a semilinear equation with critical exponent. J. Differential Equations 130 (1996), no. 1, 179--200. 35J60 (35B32) email for a copy

Korman, Philip; Li, Yi; Ouyang, Tiancheng Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 3, 599--616. 34B15 email for a copy

Dawson, D.; Li, Y.; Mueller, C. The support of measure-valued branching processes in a random environment. Ann. Probab. 23 (1995), no. 4, 1692--1718.60J80 email for a copy

Dawson, Donald A.; Fleischmann, Klaus; Li, Yi; Mueller, Carl Singularity of super-Brownian local time at a point catalyst. Ann. Probab. 23 (1995), no. 1, 37--55. 60J80 (60G57 60J65) email for a copy

Li, Yi; Santanilla, Jairo Existence and nonexistence of positive singular solutions for semilinear elliptic problems with applications in astrophysics. Differential Integral Equations 8 (1995), no. 6, 1369--1383. 35J60 (35B05 85A15) email for a copy

Gage, Michael E.; Li, Yi Evolving plane curves by curvature in relative geometries. II. Duke Math. J. 75 (1994), no. 1, 79--98. 53A04 (58E10) email for a copy

Li, Yi; Ni, Wei-Ming Radial symmetry of positive solutions of nonlinear elliptic equations in Rn . Comm. Partial Differential Equations 18 (1993), no. 5-6, 1043--1054. 35B05 (35J60) email for a copy

Kaper, Hans G.; Kwong, Man Kam; Li, Yi Symmetry results for reaction-diffusion equations. Differential Integral Equations 6 (1993), no. 5, 1045--1056. 35J65 (35R35) email for a copy

Li, Yi On the positive solutions of the Matukuma equation. Duke Math. J. 70 (1993), no. 3, 575--589. 35B05 (34B15 35J60 35Q55) email for a copy

Li, Yi Asymptotic behavior of positive solutions of equation ∆ u+K(x)u p=0 in Rn . J. Differential Equations 95 (1992), no. 2, 304--330. 35B40 (35B05 35J60) email for a copy

Li, Yi Symmetry properties of finite total mass solutions of Matukuma equation. Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), 375--389, Progr. Nonlinear Differential Equations Appl., 7, Birkhäuser Boston, Boston, MA, 1992. 35B05 (35J60) email for a copy

Li, Yi; Ni, Wei-Ming On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in Rn . II. Radial symmetry. Arch. Rational Mech. Anal. 118 (1992), no. 3, 223--243. 35J65 (35B40 53A07) email for a copy

Li, Yi; Ni, Wei-Ming On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in Rn . I. Asymptotic behavior. Arch. Rational Mech. Anal. 118 (1992), no. 3, 195--222. 35J65 (35B40 53A07) email for a copy

Kwong, Man Kam; Li, Yi Uniqueness of radial solutions of semilinear elliptic equations. Trans. Amer. Math. Soc. 333 (1992), no. 1, 339--363. 35J65 (34B15 35J25) email for a copy

Lin, Fang-Hua; Li, Yi Boundary C1 regularity for variational inequalities. Comm. Pure Appl. Math. 44 (1991), no. 6, 715--732. 35J85 (49J40) email for a copy

Kaper, Hans G.; Kwong, Man Kam; Li, Yi On the positive solutions of the free-boundary problem for Emden-Fowler type equations. Partial differential equations with minimal smoothness and applications (Chicago, IL, 1990), 163--172, IMA Vol. Math. Appl., 42, Springer, New York, 1992. 35R35 (35B05 35J65) email for a copy

Li, Yi; Ni, Wei-Ming On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations. Arch. Rational Mech. Anal. 108 (1989), no. 2, 175--194. 35J60 (85A99) email for a copy

Li, Yi; Ni, Wei-Ming On conformal scalar curvature equations in Rn . Duke Math. J. 57 (1988), no. 3, 895--924. 58G30 (35J60) email for a copy

Li, Yi Remarks on a semilinear elliptic equation on Rn. J. Differential Equations 74 (1988), no. 1, 34--49. 35J60 email for a copy