Volume 40_2_(2019)_113-140

Existence of T-p(.)-solutions for some quasilinear anisotropic elliptic problem
Ahmed Dakkak, Hassane Hjiaj, Ahmed Sanhaji

Abstract. The aim of this paper is to study the existence of solutions for some quasilineare anisotropic elliptic problem associated with differential inclusion. We study the two cases of f∈ L∞(Ω) and f∈ L1(Ω). Moreover, we show the uniqueness of solution under some additional assumptions.

Rend. Mat. Appl. (7) 40 (2019) 113-140;  pdf