Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in L1(Ω)

Abstract

In this paper we prove uniqueness results for the renormalized solution, if it exists, of a class of non coercive nonlinear problems whose prototype is where Ω is a bounded open subset of , N > 2, 2-1/N < p < N , a belongs to L∞(Ω), , f is a function in L1(Ω), b is a function in and 0 ≤ λ < λ *(N,p,r), for some r and λ *(N,p,r).