Stanley depth of monomial ideals with small number of generators

For a monomial ideal I ⊂ S = Kx ₁...,x _n ], we show that sdepth(S/I) ≥ n − g(I), where g(I) is the number of the minimal monomial generators of I. If I =νI′, where ν ∈ S is a monomial, then we see that sdepth(S/I) = sdepth(S/I′). We prove that if I is a monomial ideal I ⊂ S minimally generated by three monomials, then I and S/I satisfy the Stanley conjecture. Given a saturated monomial ideal I ⊂ Kx ₁,x ₂,x ₃] we show that sdepth(I) = 2. As a consequence, sdepth(I) ≥ sdepth(Kx ₁,x ₂,x ₃]//I) +1 for any monomial ideal in I ⊂ Kx ₁,x ₂,x ₃].