Stability for pp-Laplace type equation in a borderline case

We study the Dirichlet problem for a pp-Laplacian type operator in the setting of the Orlicz–Zygmund space ℒqlog−αℒ(Ω,RN)ℒqlog−αℒ(Ω,RN), q>1q>1 and α>0α>0. More precisely, our aim is to establish under which assumptions on α>0α>0 existence and uniqueness of the solution are assured and to prove continuity and stability of the associated nonlinear operator.