In this article, we establish a Lyapunov-type inequality for the following extremal Pucci’s equation:
{M+λ,Λ(D2u)+b(x)|Du|+a(x)u=0u=0in Ω,on ∂Ω,
where Ω is a smooth bounded domain in RN , N≥2 . This work generalizes the well-known works on the Lyapunov inequality for extremal Pucci’s equations with gradient nonlinearity.
In this article, we establish Lyapunov type inequality for the following extremal Pucci’s equation
(M+
λ,Λ
(D2u) + a(x)u = 0 in Ω,
u = 0 on ∂Ω,
where Ω is a smooth bounded domain in RN , N ≥ 2. This works generalize the well-known works on Lyapunov inequalities to fully nonlinear elliptic
equations.