Quasilinear problems involving a perturbation with quadratic growth in the gradient and a noncoercive zeroth order term

Boussad Hamour, François Murat

In this paper we consider the problem u in H^1_0 (Omega), - div (A(x) Du) = H(x, u, Du) + f(x) + a_0 (x) u in D'(Omega), where Omega is an open bounded set of R^N, N \geq 3, A(x) i…