H. Q. Toan

Learn More
In this paper we study the existence of non-trivial weak solutions of the Neumann problem for quasilinear elliptic equations in the form −div(h(x)|∇u| p−2 ∇u) + b(x)|u| p−2 u = f (x, u), p ≥ 2 in an unbounded domain Ω ⊂ R N , N ≥ 3, with sufficiently smooth bounded boundary ∂Ω, where h(x) ∈ L 1 loc (Ω), Ω = Ω ∪ ∂Ω, h(x) ≥ 1 for all x ∈ Ω. The proof of main(More)
  • 1