M. Weimar

collaborators

3 papers

math.AP2019

On the lack of interior regularity of the $p$ -Poisson problem with $p > 2$

Markus Weimar

In this note we are concerned with interior regularity properties of the $p$ -Poisson problem $Δ_{p} (u) = f$ with $p > 2$ . For all $0 < λ \leq 1$ we constuct right-hand sides $f$ of differen…

math.AP2019

Higher Order Calderon-Zygmund Estimates for the p-Laplace Equation

Anna Kh. Balci, Lars Diening, Markus Weimar

The paper is concerned with higher order Calderon-Zygmund estimates for the $p$ -Laplace equation $$ -\textrm{div}(A(\nabla u)) := -\textrm{div}{(|\nabla u|^{p-2}\nabla u)}=-\textrm…

math.FA2019

On the limit regularity in Sobolev and Besov scales related to approximation theory

Petru A. Cioica-Licht, Markus Weimar

We study the interrelation between the limit $L_{p} (Ω)$ -Sobolev regularity $s_{p}$ of (classes of) functions on bounded Lipschitz domains $Ω \subseteq R^{d}$ , $d \geq 2$ …

On the lack of interior regularity of the p-Poisson problem with p>2

Higher Order Calderon-Zygmund Estimates for the p-Laplace Equation

On the limit regularity in Sobolev and Besov scales related to approximation theory

On the lack of interior regularity of the $p$ -Poisson problem with $p > 2$