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Article

Chern, Jang-Long ; Yotsutani, Shoji ; Kawano, Nichiro
A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 283-286
MSC: 35B09, 35J57, 35J91
Keywords:
Elliptic system, uniqueness, solutions structure
Summary:
In this note, we consider some elliptic systems on a smooth domain of $R^n$. By using the maximum principle, we can get a more general and complete results of the identical property of positive solution pair, and thus classify the structure of all positive solutions depending on the nonlinarities easily.
References:
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