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A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems

Chern, Jang-LongYotsutani, ShojiKawano, Nichiro — 2017

Proceedings of Equadiff 14

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.

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