EXISTENCE RESULTS FOR NAVIER PROBLEMS WITH DEGENERATED (p,q)-LAPLACIAN AND (p,q)-BIHARMONIC OPERATORS IN WEIGHTED SOBOLEV SPACES

  • Albo Carlos Cavalheiro
Keywords: Degenerate nolinear elliptic equations, weighted Sobolev space

Abstract

In this article, we prove the existence and uniqueness of solutions for the Navier problem (P)Δω(x)|Δu|p−2Δu + ν(x)|Δu|q−2Δu−divω(x)|∇u|p−2∇u + ν(x)|∇u|q−2∇u = f(x)−div(G(x)), in Ω, u(x)=Δu =0 , in ∂Ω, where Ω is a bounded open set of RN (N ≥2), f ω ∈Lp(Ω,ω) andG ν ∈[Lq (Ω,ν)]

Published
2020-02-04