35 citations · 165 across the 26 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.FA2016
On a new class of fractional partial differential equations II
Daniel Spector, Tien-Tsan Shieh
In this paper we continue to advance the theory regarding the Riesz fractional gradient in the calculus of variations and fractional partial differential equations begun in an earl…
math.AP2016★ 14 cited
Regularity for a fractional p-Laplace equation
Armin Schikorra, Tien-Tsan Shieh, Daniel Spector
In this note we consider regularity theory for a fractional -Laplace operator which arises in the complex interpolation of the Sobolev spaces, the -Laplacian. We obtain…
math.FA2016★ 23 cited
On formulae decoupling the total variation of BV functions
Augusto C. Ponce, Daniel Spector
In this paper we prove several formulae that enable one to capture the singular portion of the measure derivative of a function of bounded variation as a limit of non-local functio…