Lyapunov type inequality for extremal Pucci's equations

2017/06/14 by Tyagi, J., Verma, R. B.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.04329

Abstract

In this article, we establish Lyapunov type inequality for the following extremal Pucci's equation \ \beginaligned M⁺_λ,Λ(D²u)+a(x)uamp;=0~in~Ω,
uamp;=0~on~∂Ω, \endaligned . where Ω is a smooth bounded domain in \R^N,~N≥2. This works generalize the well-known works on Lyapunov inequalities to fully nonlinear elliptic equations.

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