2 papers
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) -…
math.AP2025
Fine boundary regularity for fully nonlinear mixed local-nonlocal problems
Mitesh Modasiya, Abhrojyoti Sen
We consider Dirichlet problems for fully nonlinear mixed local-nonlocal non-translation invariant operators. For a bounded domain let $u\in C(\mathb…