An optimal bound on the number of interior spike solutions for the Lin–Ni–Takagi problem

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

A theory of biological pattern formation

Alfred Gierer, Hans Meinhardt · Kybernetik · 1972 · 3.2K citations

Biology, Emergent Phenomenon, Pattern Formation +5

Symmetry of positive solutions of nonlinear elliptic equations in R^n

Basilis Gidas · Medical Entomology and Zoology · 1981 · 1K citations

Monge-ampere Equation, Elliptic Equation, Positive Solutions +3

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

On the shape of least‐energy solutions to a semilinear Neumann problem

Wei‐Ming Ni, Izumi Takagi · Communications on Pure and Applied Mathematics · 1991 · 632 citations

Numerical Analysis, Elliptic Equation, Engineering +5