Publications
Publications are listed newest to oldest. If you wish to obtain a copy of one of the publications listed below, double-click on the "Request a copy" link and send the message.
Multiple solutions for an elliptic problem related to vortex pairs. Journal of Differnetial Equations 250 (April 15, 2011) no. 8, 3448--3472. |
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Quantitative Interpretation of a Genetic Model of Carcinogenesis Using Computer Simulations. PLOS ONE 6 (March 8, 2011), no. 3, Article Number: e16859 |
Request a copy | The positive solutions of the Matukuma equation and the problem of finite radius and finite mass. Arch. Rational Mech. Anal. 198 (2010) no. 2, 613--675. |
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Computing the location and the direction of bifurcation for sign changing solutions. Differential Equations and Applications 2 (2010), no. 1, 1--13. |
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On the structure of solutions to a class of quasilinear elliptic Neumann problems. II, Journal of Calculus of Variations and Partial Differential Equations 37 (2010), no. 1-2, 237--258. |
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Some remarks on the positive solution for a semilinear Shrödinger-Poisson-Slater system in Rn. Advances in Mathematics 39 (2010) no. 3, 303--312. |
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Traveling wave solutions for a nonlocal reaction-diffusion model of Influenza A drift. Discrete and Continuous Dynamical Systems B 13 (2010), no. 1, 157--174. |
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Traveling wave solutions of the one dimensional diffusion-reaction equation. Discrete and Continuous Dynamical Systems 26 (2010), no. 1, 265--290. |
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Regularity of the solutions for nonlinear biharmonic equations in Rn. Acta Math. Sci. 29B (2009), 1469--1480. |
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A note on the positive solutions of an inhomogeneous elliptic equation on Rn. J. Differential Equations 240 (2009), 670--680. |
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Periodic traveling wave solutions in epidemiological models. J. Math. & Comp. Modeling 49 (2009), 393--401. |
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A note on the positive solutions of an inhomogeneous elliptic equation on Rn. J. Differential Equations 240 (2009), 670--680. |
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On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem. Mathematical Research Letters 15 (2008), no. 5, 923--939. |
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Nodal solutions of a perturbed elliptic problem. Topological Methods in Nonlinear Analysis 32 (2008), no. 1, 49--68. |
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Bifurcation and stability of periodic solutions of Duffing equations. Nonlinearity 21 (2008), 2485--2503. |
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On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem. Mathematical Research Letters 15 (2008), no. 5, 923--939. |
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Asymptotic behavior of linearized viscoelastic flow problem. Discrete and Continuous Dynamical Systems B 10(4) (2008), 843--856. |
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Existence and decay properties of positive solutions for an inhomogeneous semilinear elliptic equation. Proceedings of the Royal Society of Edinburgh Sect. A 138 (2008), no. 2, 301--322. |
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Stability of travelling waves with noncritical speeds for double degenerate Fisher-type equations. Discrete and Continuous Dynamical Systems B 10 (2008), no. 1, 149--170. |
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Exclusive traveling waves for competitive reaction-diffusion systems and their stabilities. Journal of Mathematical Analysis and Applications 338 (2) (2008), 902--924. |
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Verification of bifurcation diagrams for polynomial-like equations. Journal of Computational and Applied Mathematics 2 (2008), 187--193. |
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Exponential decay for nonlinear biharmonic equations. Communications in Contemporary Mathematics 9 (2007), no. 5, 753--768. |
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Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem. Journal of Mathematical Analysis and Applications 336 (2007), no. 2, 1368--1383. |
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Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities. Proceedings of AMS 135 (2007), no. 12, 3925--3932. |
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Existence, uniqueness, and stability of periodic solutions of an equation of Duffing-type. Discrete and Continuous Dynamical Systems A 18 (2007), no. 4, 793--807. |
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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. |
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On the direction of pitchfork bifurcation. Proceeding of the MSU-UAB Conference, Electron. J. Diff. Eqns 15 (2007), 153--158. |
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Rate of decay of stable periodic solutions of Duffing equations. J. Differential Equations 236 (2007), no. 2, 493--503. |
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On the shape of least-energy solutions for a class of quasilinear elliptic Neumann problems. IMA Journal of Applied Mathematics 72 (2007), no. 2, 113--139. |
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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. |
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Bifurcations in a host-parasite model with nonlinear incidence. International Journal of Bifurcation and Chaos 16 (2006), no. 11, 3291--3307. |
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Branches of solutions to semilinear biharmonic equations on Rn. Proceedings of the Royal Society of Edinburgh Sect. A 136 (2006), no. 4, 733--758. |
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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. |
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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. |
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Recent development in bioluminescence tomography. Current Medical Imaging Reviews, 2 (4) (2006), 453--457. |
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Local stability of traveling wave solutions of nonlinear reaction diffusion equations. Discrete and Continuous Dynamical Systems A, 15 (2006), 681--701. |
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On the stability of the positive radical steady states for a nonhomogeneous semilinear Cauchy problem. J. Differential Equations 228 (2006), 507--529. |
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Species coexistence and periodicity in host-host-pathogen models. Journal of Mathematical Biology v51 #6 (2005), 629--660. |
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Computing the location and the direction of bifurcation. Mathematical Research Letters (2005), no. 5-6, 933--944. |
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Computational optical biopsy. BioMedical Engineering OnLine (2005), 1--7. |
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A note on exponential decay properties of ground states for quasilinear elliptic equations. Proceedings of AMS 133 (2005), 2005--2012. |
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Global existence of solutions to a cross-diffusion system in higher dimensional domains. Discrete and Continuous Dynamical Systems 12 (2005), 185--192. |
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On the structure of solutions to a class of quasilinear elliptic Neumann problems. Journal of Differential Equations 212 (2005), 208--233. |
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Uniqueness theorems in bioluminescence tomography. Medical Physics 31 (2004), 2289--2299. |
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Exact multiplicity for periodic solutions of a first-order differential equation. Journal of Mathematical Analysis and Applications, 292/2 (2004), 415--422. |
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Exact multiplicity for periodic solutions of Duffing type. Nonlinear Analysis. Theory, Methods & Applications 55 (2003), no. 1-2, 115--124. |
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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. |
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The global dynamics of isothermal chemical systems with critical nonlinearity. Nonlinearity 16 (2003), 1057--1074. |
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Perturbation of global solution curves for semilinear problems. Advanced Nonlinear Studies 3 (2003), no. 2, 289--299. |
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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) |
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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) |
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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) |
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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) |
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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) |
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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) |
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n Hopf bifurcation in models for pertussis epidemiology. Math. Comput. Modelling 30 (1999), no. 11-12, 29--45. 92D30 (34C23 34C60 37N25) |
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On the exactness of an S-shaped bifurcation curve. Proc. Amer. Math. Soc. 127 (1999), no. 4, 1011--1020. 34B15 (34C23) |
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Generalized averages for solutions of two-point Dirichlet problems. J. Math. Anal. Appl. 239 (1999), no. 2, 478--484. 34B18 |
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Positive solutions to semilinear problems with coefficient that changes sign. Nonlinear Anal. 37 (1999), no. 4, Ser. A: Theory Methods, 501--510. 35J65 (35B05) |
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Axiomatic approach for quantification of image resolution. IEEE Signal Processing Letters 6:257--258, 1999. |
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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) |
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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) |
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Travelling fronts in cylinders and their stability. Rocky Mountain J. Math. 27 (1997), no. 1, 123--150. 35K57 (35B40) |
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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) |
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Existence of multiple positive solutions for a semilinear elliptic equation. Adv. Differential Equations 2 (1997), no. 3, 361--382. 35J60 (35B05 35B32) |
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On homoclinic and heteroclinic orbits for Hamiltonian systems. Differential Integral Equations 10 (1997), no. 2, 357--368. 34C37 (58E05 58F05 70H05) |
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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) |
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Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 3, 599--616. 34B15 |
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The support of measure-valued branching processes in a random environment. Ann. Probab. 23 (1995), no. 4, 1692--1718.60J80 |
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Singularity of super-Brownian local time at a point catalyst. Ann. Probab. 23 (1995), no. 1, 37--55. 60J80 (60G57 60J65) |
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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) |
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Evolving plane curves by curvature in relative geometries. II. Duke Math. J. 75 (1994), no. 1, 79--98. 53A04 (58E10) |
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Radial symmetry of positive solutions of nonlinear elliptic equations in Rn. Comm. Partial Differential Equations 18 (1993), no. 5-6, 1043--1054. 35B05 (35J60) |
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Symmetry results for reaction-diffusion equations. Differential Integral Equations 6 (1993), no. 5, 1045--1056. 35J65 (35R35) |
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On the positive solutions of the Matukuma equation. Duke Math. J. 70 (1993), no. 3, 575--589. 35B05 (34B15 35J60 35Q55) |
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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) |
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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) |
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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) |
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Uniqueness of radial solutions of semilinear elliptic equations. Trans. Amer. Math. Soc. 333 (1992), no. 1, 339--363. 35J65 (34B15 35J25) |
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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) |
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Boundary C1, α regularity for variational inequalities. Comm. Pure Appl. Math. 44 (1991), no. 6, 715--732. 35J85 (49J40) |
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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) |
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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) |
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On conformal scalar curvature equations in Rn. Duke Math. J. 57 (1988), no. 3, 895--924. 58G30 (35J60) |
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Remarks on a semilinear elliptic equation on Rn. J. Differential Equations 74 (1988), no. 1, 34--49. 35J60 |
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