Boundedness, blowup and critical mass phenomenon in competing chemotaxis

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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Initiation of slime mold aggregation viewed as an instability

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1970 · 3.7K citations

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Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1964 · 1.3K citations

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Boundedness vs. blow-up in a chemotaxis system

Dirk Horstmann, Michael Winkler · Journal of Differential Equations · 2004 · 1K citations

Natural Sciences, Mathematics, Dynamical Systems +9