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- W2024851819 abstract "We are interested with positive solutions of −ε2Δu+f(u)=0 in S1×R, i.e. periodic solutions in the first coordinate x1. The model function for f is f(u)=u−up, p>1. We prove that for ε large enough, any positive solution is a function of the second coordinate only. To cite this article: G. Allain, A. Beaulieu, C. R. Acad. Sci. Paris, Ser. I 345 (2007). On s'intéresse aux solutions positives de −ε2Δu+f(u)=0 dans S1×R, c'est-à-dire aux solutions périodiques en x1, la première coordonnée. Le cas modèle est f(u)=u−up, p>1. Nous prouvons que, pour ε suffisamment grand, toute solution positive est une fonction de x2 seulement. Pour citer cet article : G. Allain, A. Beaulieu, C. R. Acad. Sci. Paris, Ser. I 345 (2007)." @default.
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- W2024851819 date "2007-10-01" @default.
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- W2024851819 title "High frequency periodic solutions of semilinear equations" @default.
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- W2024851819 doi "https://doi.org/10.1016/j.crma.2007.07.010" @default.
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