Uniqueness of positive periodic solutions with some peaks

Genevieve Allain (1) , Anne Beaulieu (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

This work deals with the semi linear equation −Δu+u−up=0 in $\R^N$, 2≤p

Mots clés: Periodic solutions" "Asymptotic behavior of solutions" " Semi linear elliptic equations; "Periodic solutions" "Asymptotic behavior of solutions" " Semi linear elliptic equations"

Domaines: Equations aux dérivées partielles [math.AP]

Genevieve Allain, Anne Beaulieu. Uniqueness of positive periodic solutions with some peaks. Advances in Differential Equations, 2014, 19 (1-2), pp.51-86. ⟨hal-00905821⟩