Multiplicity of Solutions for a Class of Elliptic Problem of p-Laplacian Type with a p-Gradient Term

We consider the following problem: -Δpu=c(x)|u|q-1u+μ|∇u|p+h(x)  in  Ω,  u=0  on  ∂Ω, where Ω is a bounded set in RN (N≥3) with a smooth boundary, 1<p<N, q>0, μ∈R⁎, and c and h belong to Lk(Ω) for some k>N/p. In this paper, we assume that c≩0 a.e. in Ω and h without sign condition and th...

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Bibliographic Details
Main Authors: Zakariya Chaouai, Soufiane Maatouk
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2019/6824502