Moser alpha
WebFeb 26, 2024 · We first obtain the existence of a ground state solution with positive energy by using minimax techniques combined with the fractional Trudinger–Moser inequality. Next, the existence of nonnegative solutions with negative energy is established by using Ekeland’s variational principle. WebFeb 4, 2024 · Question about Trudinger-Moser type inequality. where ‖ u ‖ W 0 1, N N = ∫ Ω ∇ u N d x and α N = N ω N − 1 1 N − 1. The inequality is clear, but my question is: if I only know that u ∈ W 0 1, N ( Ω) and ‖ u ‖ W 0 1, N is bounded (I don't know if ‖ u ‖ W 0 1, N ≤ 1 ), I can say, anyway, that that supremum is ...
Moser alpha
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