3 citations · 11 across the 16 of their papers we have counts for
4 papers · 1 filter
A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double phase equations
James M. Scott, Tadele Mengesha
In this note we prove an estimate on the level sets of a function with growth that depends on the difference quotient of a bounded weak solution to a nonlocal double phase…
A Fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations
Tadele Mengesha, James M. Scott
In this paper we prove a fractional analogue of the classical Korn's first inequality. The inequality makes it possible to show the equivalence of a function space of vector field…
Self-improving Inequalities for bounded weak solutions to nonlocal double phase equations
James M. Scott, Tadele Mengesha
We prove higher Sobolev regularity for bounded weak solutions to a class of nonlinear nonlocal integro-differential equations. The leading operator exhibits nonuniform growth, swit…
Weak Limits of Fractional Sobolev Homeomorphisms are Almost Injective: A Note
Armin Schikorra, James M. Scott
Let be an open set and be a sequence of homeomorphisms weakly converging to . It is known t…