UNIQUENESS FOR SOLUTIONS OF NONHOMOGENEOUS A -HARMONIC EQUATIONS WITH VERY WEAK BOUNDARY VALUES

LetΩ be a bounded domain in Rn.We consid-er the quasilinear elliptic second order equationdiv A(x,u) =B(x,u) (1 )where A∶ Ω×Rn→Rn and B∶ Ω×Rn→R are func-tions satisfying the usual measurability conditions(Carathodory conditions) and,for1 0whenever h1≠ h2 (4)　　　 |B(x,h) |≤β|h|p -1(5)for almostevery x∈ Ω and all h,h1…