Claudianor O. Alves

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In this work we study the existence of nontrivial solution for the following class of multivalued quasilinear problems −div(ϕ(|∇u|)∇u) − b(u)u ∈ λ∂F (x, u) in Ω, u = 0 on ∂Ω where Ω ⊂ R N is a bounded domain, N ≥ 2 and ∂F (x, u) is a generalized gradient of F (x, t) with respect to t. The main tools utilized are Variational Methods for Locally Lipschitz(More)
We investigate the questions of existence of positive solution for the nonlocal problem −M(u 2)Δu = f (λ,u) in Ω and u = 0 on ∂Ω, where Ω is a bounded smooth domain of R N , and M and f are continuous functions. distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided(More)
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