2 papers
math.FA2026
Traces of Sobolev functions and higher integrability
Robert Denk, Franz Gmeineder, Paul Stephan
We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of -Sobolev functions. The optimali…
math.AP2024
Constant rank operators in Korn-Maxwell-Sobolev inequalities
Peter Lewintan, Paul Stephan
We focus on Korn-Maxwell-Sobolev inequalities for operators of reduced constant rank. These inequalities take the form \[ \|P - Î _{\mathbb{B}} Î _{\ker\mathscr{A}} P\|_{\dot{\math…