Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation

2022/10/06 by Yuzhou Fang, Vicenţiu D. Rădulescu, Fang, Yuzhou +3
Mathematics · #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.2210.02786

Abstract

We establish the equivalence between weak and viscosity solutions to the nonhomogeneous double phase equation with lower-order term -\rm div(|Du|^p-2Du+a(x)|Du|^q-2Du)=f(x,u,Du), 1

Related

• On weak and viscosity solutions of nonlocal double phase equations
• On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data
• Equivalence between distributional and viscosity solutions for the double-phase equation
• Equivalence of weak and viscosity solutions in fractional\n non-homogeneous problems
• Viscosity Solutions for the two-phase Stefan Problem