A singular Gierer–Meinhardt system of elliptic equations
Y.S Choi
Department of Mathematics, University of Connecticut, Storrs, CT 06269, USAP.J McKenna
Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA
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Abstract
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.
Résumé
Nous établissons içi l’existence des solutions d’un système d’équations singulières non-quasimonotones. Ces équations forment un cas spécial des équations de Gierer–Meinhardt. En dimension un, nous demontrons aussi l’unicité des solutions.
Cite this article
Y.S Choi, P.J McKenna, A singular Gierer–Meinhardt system of elliptic equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 4, pp. 503–522
DOI 10.1016/S0294-1449(00)00115-3