Asymptotic mean value properties for the elliptic and parabolic double phase equations

2022/11/29 by Meng, Weili, Zhang, Chao
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.16003

Abstract

We characterize an asymptotic mean value formula in the viscosity sense for the double phase elliptic equation -\rm div(| ∇ u |^p-2∇ u+ a(x)|∇ u |^q-2∇ u)=0 and the normalized double phase parabolic equation u_t=|∇ u | ^2-p\rm div(| ∇ u |^p-2∇ u+ a(x,t)|∇ u |^q-2∇ u), 1

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