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math.AP2025
Hölder regularity of doubly nonlinear nonlocal quasilinear parabolic equations in some mixed singular-degenerate regime
Karthik Adimurthi, Mitesh Modasiya
We study local Hölder regularity of bounded, weak solutions for the nonlocal quasilinear equations of the form \[ (|u|^{q-2}u)_t + \text{P.V.} \int_{\mathbb{R}^n} \frac{|u(x,t) - u…
math.AP2025
Local Hölder regularity for bounded, signed solutions to nonlocal Trudinger equations
Karthik Adimurthi
We prove local Hölder regularity for bounded and sign-changing weak solutions to nonlocal Trudinger equations of the form \[ (|u|^{p-2}u)_t + \text{P.V.} \int_{\mathbb{R}^n} \frac{…