Kristian Moring

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math.AP2026

CalderÃ³n-Zygmund estimates for parabolic $p$ -Laplacian systems with non-divergence form right-hand sides

PÃªdra Andrade, Verena BÃ¶gelein, Frank Duzaar +1

We establish local CalderÃ³n-Zygmund type estimates for weak solutions to nonlinear parabolic systems with $p$ -growth and VMO coefficients. In particular, we prove that if the righ…

math.AP2026

Sharp gradient integrability for $(s, p)$ -Poisson type equations

Verena BÃ¶gelein, Frank Duzaar, Naian Liao +1

We prove local $W^{1, q}$ -regularity for weak solutions to fractional $p$ -Laplacian type equations with right-hand side $f \in L_{loc}^{r} (I^c ◯)$ . Assuming $p > 1$ , $s \in (0, 1)$ , a…

math.AP2025

Global higher integrability for systems with $p$ -growth structure in noncylindrical domains

Kristian Moring, Christoph Scheven, Leah SchÃ¤tzler

We consider the Cauchy-Dirichlet problem to systems with $p$ -growth structure with $1 < p < \infty$ , whose prototype is \begin{equation*} \partial_t u- \operatorname{div} \big( |Du…

math.AP2025

Gradient estimates for the fractional $p$ -Poisson equation

Verena BÃ¶gelein, Frank Duzaar, Naian Liao +1

We consider local weak solutions to the fractional $p$ -Poisson equation of order $s$ , i.e. $(- I^_{p})^{s} u = f$ . In the range $p > 1$ and $s \in (\frac{p - 1}{p}, 1)$ w…

math.AP2025

HÃ¶lder regularity for degenerate parabolic double-phase equations

Wontae Kim, Kristian Moring, Lauri SÃ¤rkiÃ¶

We prove that bounded weak solutions to degenerate parabolic double-phase equations of $p$ -Laplace type are locally HÃ¶lder continuous. The proof is based on phase analysis and met…

math.AP2024

On notions of $p$ -parabolic capacity and applications

Kristian Moring, Christoph Scheven

We consider different notions of capacity related to the parabolic $p$ -Laplace equation. Our focus is on a variational notion, which is consistent in the full range $1 < p < \infty$ . F…

CalderÃ³n-Zygmund estimates for parabolic p-Laplacian systems with non-divergence form right-hand sides

Sharp gradient integrability for (s,p)-Poisson type equations

Global higher integrability for systems with p-growth structure in noncylindrical domains

Gradient estimates for the fractional p-Poisson equation

HÃ¶lder regularity for degenerate parabolic double-phase equations

On notions of p-parabolic capacity and applications

CalderÃ³n-Zygmund estimates for parabolic $p$ -Laplacian systems with non-divergence form right-hand sides

Sharp gradient integrability for $(s, p)$ -Poisson type equations

Global higher integrability for systems with $p$ -growth structure in noncylindrical domains

Gradient estimates for the fractional $p$ -Poisson equation

On notions of $p$ -parabolic capacity and applications