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Minimax solutions for FitzHugh-Nagumo systems with critical exponential growth

Ó, João Marcos do et al.
arXiv (All) · Papers
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35q92analysis-of-pdes
We study a class of FitzHugh-Nagumo type systems with critical exponential growth in a smooth bounded domain of $\mathbb{R}^{2}$. The classical reduction method turns the strongly indefinite system into a scalar nonlocal problem whose quadratic part induces a norm equivalent to, but different from t
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