Existence results for Navier problems with degenerated (p,q)-Laplacian and (p,q)-Biharmonic operators

Authors : Albo Carlos CAVALHEİRO

Pages : 74-87

View : 10 | Download : 5

Publication Date : 2018-08-31

Article Type : Research Paper

Abstract :In this article, we prove the existence and uniqueness of solutions for the Navier problem insert ignore into journalissuearticles values(P);    ∆ ωinsert ignore into journalissuearticles values(x);insert ignore into journalissuearticles values(|∆u| p−2∆u + |∆u| q−2∆u); − div ωinsert ignore into journalissuearticles values(x);insert ignore into journalissuearticles values(|∇u| p−2∇u + |∇u| q−2∇u); = finsert ignore into journalissuearticles values(x); − divinsert ignore into journalissuearticles values(Ginsert ignore into journalissuearticles values(x););, in Ω, uinsert ignore into journalissuearticles values(x); = ∆u = 0, in ∂Ω, where Ω is a bounded open set of R N insert ignore into journalissuearticles values(N ≥ 2);, f ω ∈L p 0 insert ignore into journalissuearticles values(Ω, ω); and G ω ∈ [L q 0 insert ignore into journalissuearticles values(Ω, ω);]N .
Keywords : Degenerate nonlinear elliptic equations, weighted Sobolev space, 2010 MSC 35J60, 35J70