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.
A class of singular Gierer–Meinhardt systems of elliptic boundary value problems
✍ Scribed by Eun Heui Kim
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 221 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 Dirich
## Abstract We consider a singular anisotropic quasilinear problem with Dirichlet boundary condition and we establish two sufficient conditions for the uniqueness of the solution, provided such a solution exists. The proofs use elementary tools and they are based on a general comparison lemma combi