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arXiv · 2105.01493

Non-variational weakly coupled elliptic systems

Mónica Clapp·Andrzej Szulkin
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Abstract

We establish the existence of a nonnegative fully nontrivial solution to a non-variational weakly coupled competitive elliptic system. We show that this kind of solutions belong to a topological manifold of Nehari-type, and apply a degree-theoretical argument on this manifold to derive existence.

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Mónica Clapp, Andrzej Szulkin. 2021-05-04. Non-variational weakly coupled elliptic systems. https://doi.org/10.1007/s13324-022-00673-x

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