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A singular Gierer–Meinhardt system of elliptic equations: the classical case

✍ Scribed by Y.S. Choi; P.J. McKenna

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
297 KB
Volume
55
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper studies the existence of solutions of a nonlinear elliptic system usually called the generalized Gierer-Meinhardt equations. This type of system originally arose in studies of pattern-formation in biology, and has interesting and challenging mathematical properties, especially with Dirichlet boundary conditions when the nonlinear terms become singular near the boundary. We study the existence of solutions in the classical case of Gierer-Meinhardt, when the activator-inhibitor model has di erent sources.

📜 SIMILAR VOLUMES

A singular Gierer–Meinhardt system of el
A singular Gierer–Meinhardt system of elliptic equations
✍ Y.S Choi; P.J McKenna 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 132 KB

We establish the existence of solutions to a singular non-quasimonotone system of equations. Such equations are a special case of the Gierer-Meinhardt equations. In the one dimensional case, the uniqueness result is also proved.