In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime. As an example, we prove that the system (equation presented) has infinitely many saddle-shape solutions in dimension 2 or higher. This is in sharp contrast with the case Λ 2 (0; 1], for which, on the contrary, only constant solutions exist.
Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Soave, Nicola
2020-01-01
Abstract
In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-separation regime. As an example, we prove that the system (equation presented) has infinitely many saddle-shape solutions in dimension 2 or higher. This is in sharp contrast with the case Λ 2 (0; 1], for which, on the contrary, only constant solutions exist.File in questo prodotto:
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