We study the stability and the solvability of a family of problems -(ϕ(x'))'=g(t,x,x',u)+f* with Dirichlet boundary conditions, where ϕ, u, f* are allowed to vary as well. Applications for boundary value problems involving the p-Laplacian operator are highlighted.
Keywords: Browder–Minty Theorem; Dirichlet BVP; Hadamard Programme; stability of solution; ϕ-Laplacian.