Special Session 15: Qualitative properties for solutions to nonlinear elliptic and parabolic equations
Regularity for Local-Nonlocal Elliptic Equations with $(p,q)$-Growth and Matrix Weights
Sun-Sig Byun
Seoul National University Korea
Co-Author(s):
Abstract:
We investigate regularity for local-nonlocal elliptic equations involving a matrix-weighted $p$-Laplacian coupled with a fractional $(s,q)$-Laplacian. The model captures the interaction between nonlinear local diffusion and nonlocal effects in a weighted setting. Under the assumptions $1