Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839317 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 10 Pages |
Abstract
In this paper we consider the semilinear elliptic problem {−Δu=λf(u)in Ω,u=0on ∂Ω, where ff is a nonnegative, locally Lipschitz continuous function, ΩΩ is a smooth bounded domain and λ>0λ>0 is a parameter. Under the assumption that ff has an isolated positive zero αα such that f(t)(t−α)N+2N−2 is decreasing in (α,α+δ), for some small δ>0δ>0, we show that for large enough λλ there exist at least two positive solutions uλ
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Authors
Begoña Barrios, Jorge García-Melián, Leonelo Iturriaga,