Unique continuation of the quasilinear elliptic equation on lebesgue spaces L_p

In this paper we make the convolution between φ, the fundamental solution of the Laplace equation, and function V that belongs to the space L_n/p (Rⁿ). Since this convolution solves Poisson’s equation - Δz = V, we use this result to derive Fefferman’s inequality, which will be the cornerstone in the proof of our main result, which deals with the unique continuation property of the nonnegative solution of the quasilinear elliptic equation div A(x, u, ∇u) = B(x, u, ∇u), whose coefficients belong to the L_n/p (Rⁿ) space.