• Citer

The limit as p -> Infinity in the eigenvalue problem for a system of p-Laplacians

par Bonheure, Denis ;Rossi, Julio Daniel;Saintier, Nicolas
Référence Annali di matematica pura ed applicata, 195, 5, page (1771-1785)
Publication Publié, 2016-10

Article révisé par les pairs

• Détails
• Contenu

Résumé :

In this paper, we study the behavior as p→ ∞ of eigenvalues and eigenfunctions of a system of p-Laplacians, that is (Formula presented.) in a bounded smooth domain Ω. Here α+ β= p. We assume that α/p→Γ and β/p→1-Γ as p→ ∞ and we prove that for the first eigenvalue λ1,p we have (λ1,p)1/p→λ∞=1/maxx∈Ωdist(x,∂Ω).Concerning the eigenfunctions (up, vp) associated with λ1,p normalized by ∫Ω