On equivalence of weak and viscosity solutions to nonlocal double phase problems with nonhomogeneous data

2025/05/22 by Ghosh, Sekhar, Lakshmi, R., Zhang, Chao
#35B65 #35D30 #35D40 #35R05 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.16461

Abstract

This work focuses on the nonhomogeneous nonlocal double phase problem L_au(x)=f(x,u,D_s^p u, D_a,t^q u) in Ω, where Ω⊂ℝ^N is a bounded domain with Lipschitz boundary, 0

Related

• On weak and viscosity solutions of nonlocal double phase equations
• Equivalence of weak and viscosity solutions for the nonhomogeneous double phase equation
• Gradient regularity for nonlocal double phase equations
• Nonlocal Harnack inequalities for nonlocal double phase equations I ; with positive bounded modulating coefficient with no Hölder condition
• Hölder regularity for weak solutions to nonlocal double phase problems