Daniel Hauer

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math.AP2024

Regularity and Separation for $p$ -Laplace operators

Daniel Hauer, Adam Sikora

We analyze $p$ -Laplace operators with degenerate elliptic coefficients. This investigation includes Grušin type $p$ -Laplace operators. We describe a \emph{separation phenomenon} in…

math.AP2023

The Barenblatt solution of an evolution problem governed by a doubly nonlinear nonlocal operator

Timothy A. Collier, Daniel Hauer

In this article, we prove existence and uniqueness of the Barenblatt solution of the evolution equation on the whole Euclidean space where the principle part is the nonlocal fracti…

math.AP2023

Density of the domain of doubly nonlinear operators in $L^{1}$

Timothy Collier, Daniel Hauer

The aim of this paper is to provide sufficient conditions implying that the effective domain $D (A ϕ)$ of an $m$ -accretive operator $A ϕ$ in $L^{1}$ is dense in $L^{1}$ . Here, $A ϕ$ refers…

Regularity and Separation for p-Laplace operators

The Barenblatt solution of an evolution problem governed by a doubly nonlinear nonlocal operator

Density of the domain of doubly nonlinear operators in L1

Regularity and Separation for $p$ -Laplace operators

Density of the domain of doubly nonlinear operators in $L^{1}$