My research interests include nonlinear analysis, differential and integral equations, mathematical ecology, and fractal geometry. Select papers are linked below (* denotes HMC student co-author):

- A. Castro and J. Jacobsen, Radial Solutions to Elliptic Equations, submitted 2020
- J. Jacobsen, Y. Jin,
*Journal of Mathematical Biology*,**70**, (2015), 549-590. - J. Jacobsen and T. McAdam*, A Boundary Value Problem for integrodifference population models with cyclic kernels, Discrete Contin Dyn Syst Ser B,
**19 (10),**(2014), 3191-3207. - H. W. Mckenzie, Y. Jin, J. Jacobsen and M. A. Lewis, R₀ Analysis of a Spatiotemporal Model for a Stream Population,
*SIAM Journal on Applied Dynamical Systems*,**11 (2)**, (2012), 567-596. - J, Jacobsen, As Flat As Possible, SIAM Review,
**49**, (2007), 491-507. - J. Jacobsen and K. Schmitt, The Liouville-Bratu-Gelfand Problem for Radial Operators, Journal of Differential Equations,
**184**, (2002), 283-298. - J. Jacobsen and K. Schmitt, Radial Solutions of Quasilinear Elliptic Differential Equations, Handbook of Differential Equations, (2004), 359-435.
- V. Camacho*, R. Guy and J. Jacobsen, Traveling Waves and Shocks in a Viscoelastic Generalization of Burgers’ Equation, SIAM Journal on Applied Mathematics,
**68****(5)**, (2008), 1316-1332. - J. Jacobsen, O. Lewis*, B. Tennis*, Approximations of Continuous Newton’s Method: An Extension of Cayley’s Problem, Electronic Journal of Differential Equations,
**15**, (2007), 163-173. - J. Jacobsen, A Liouville-Gelfand Equation for k-Hessian Operators, Rocky Mountain J. Math., Vol.
**34**2, (2004), 665-684. - J. Gjorgjieva* and J. Jacobsen, Turing Patterns on Growing Spheres: The Exponential Case, Discrete Contin. Dyn. Syst., (2007), Series A, suppl., p. 436-445.
**Note:**There is an error in the diffusion-driven calculation in this paper as kindly pointed out by Madzvamuse et al.: See “Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains, J. Math Biol. (2010)” for an alternate approach to determining the diffusion-driven instability condition.