Stability of spiky solution of Keller–Segel's minimal chemotaxis model

Initiation of slime mold aggregation viewed as an instability

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1970 · 3.6K citations

Mold Control, Pattern Formation, Engineering +7

Large amplitude stationary solutions to a chemotaxis system

Chang‐Shou Lin, Wei Ni, Izumi Takagi · Journal of Differential Equations · 1988 · 685 citations

Dynamic Equilibrium, Biophysics, Periodic Travelling Wave +1

Locating the peaks of least-energy solutions to a semilinear Neumann problem

Wei-Ming Ni, Izumi Takagi · Duke Mathematical Journal · 1993 · 542 citations

Numerical Analysis, Engineering, Variational Analysis +9

Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems

Herbert Amann · Differential and Integral Equations · 1990 · 454 citations · Full text

Dynamic Theory, Nonlinear Hyperbolic Problem, Hyperbolic Conservation Law +1

On global bifurcation for quasilinear elliptic systems on bounded domains

Junping Shi, Xuefeng Wang · Journal of Differential Equations · 2008 · 345 citations

Elliptic Equation, Elliptic Function, Global Bifurcation +2