Browsing by Author "Alves, Claudianor Oliveira"

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    Asymptotic behaviour as p → ∞ of least energy solutions of a (p, q(p))-Laplacian problem.
    (2019) Alves, Claudianor Oliveira; Ercole, Grey; Pereira, Gilberto de Assis
    We study the asymptotic behaviour, as p → ∞, of the least energy solutions of the problem −(Δp + Δq(p))u = λp|u(xu)| p−2u(xu)δxu in Ω u = 0 on ∂Ω, where xu is the (unique) maximum point of |u|, δxu is the Dirac delta distribution supported at xu, limp→∞ q(p) p = Q ∈ (0, 1) if N 0 is such that min ∇u∞ u∞ : 0 ≡ u ∈ W1,∞(Ω) ∩ C0(Ω) limp→∞(λp) 1/p < ∞.