4 citations · 5 across the 5 of their papers we have counts for
6 papers
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…
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(\mathbb…
Boundary regularity of mixed local-nonlocal operators and its application
Anup Biswas, Mitesh Modasiya, Abhrojyoti Sen
Let be a bounded domain in and solves \begin{equation*} \begin{aligned} Δu + a Iu + C_0|Du| \geq -K\quad \text{in}\; Ω, \quad Δu + a…
Mixed local-nonlocal operators: maximum principles, eigenvalue problems and their applications
Anup Biswas, Mitesh Modasiya
In this article we consider a class of non-degenerate elliptic operators obtained by superpositioning the Laplacian and a general nonlocal operator. We study the existence-uniquene…
A study of nonlocal spatially heterogeneous logistic equation with harvesting
Anup Biswas, Mitesh Modasiya
We study a class of nonlocal reaction-diffusion equations with a harvesting term where the nonlocal operator is given by a Bernstein function of the Laplacian. In particular, it in…
Regularity results of nonlinear perturbed stable-like operators
Anup Biswas, Mitesh Modasiya
We consider a class of fully nonlinear integro-differential operators where the nonlocal integral has two components: the non-degenerate one corresponds to the -stable operator…