34 citations · 63 across the 31 of their papers we have counts for
6 papers · 1 filter
A fractional Korn-type inequality
James Scott, Tadele Mengesha
We show that a class of spaces of vector fields whose semi-norms involve the magnitude of "directional" difference quotients is in fact equivalent to the class of fractional Sobole…
A different approach to the MHD equilibrium
John Hedditch
Equations describing plasma equilibria are derived from the total energy of the system. The MHD equilibrium is shown to hold even for systems where the magnetic field may locally v…
Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients
Karthik Adimurthi, Tadele Mengesha, Nguyen Cong Phuc
Local and global weighted norm estimates involving Muckenhoupt weights are obtained for gradient of solutions to linear elliptic Dirichlet boundary value problems in divergence for…
Solvability of nonlocal systems related to peridynamics
Moritz Kassmann, Tadele Mengesha, James Scott
In this work, we study the Dirichlet problem associated with a strongly coupled system of nonlocal equations. The system of equations comes from a linearization of a model of perid…
Fractional Korn and Hardy-type inequalities for vector fields in half space
Tadele Mengesha
We prove a fractional Hardy-type inequality for vector fields over the half space based on a modified fractional semi-norm. A priori, the modified semi-norm is not known to be equi…
compactness criteria with an application to variational convergence of some nonlocal energy functionals
Qiang Du, Tadele Mengesha, Xiaochuan Tian
Motivated by some variational problems from a nonlocal model of mechanics, this work presents a set of sufficient conditions that guarantee a compact inclusion in the function spac…