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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

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A singular Gierer–Meinhardt system of el
✍ 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.

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## 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