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:
This talk studies mixed local and nonlocal elliptic equations with degenerate and singular matrix weights.
Using a frozen-weight comparison method, we obtain higher integrability and gradient estimates
while addressing intrinsic geometry and nonlocal tail effects.