A. Balci

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math.AP2026

Gradient estimates for $p (\cdot)$ -harmonic differential forms

Anna Balci, Swarnendu Sil, Mikhail Surnachev

In this paper, we establish gradient bounds for $p (\cdot)$ -harmonic differential forms subject to a Coulomb-type gauge condition. For variable exponents satisfying the log-HÃ¶lder…

math.AP2025

Nonlocal Meyers' Example

Anna Kh. Balci, Lars Diening, Moritz Kassmann +1

We present nonlocal variants of the famous Meyers' example of limited higher integrability and differentiability. In the limit $s ↗ 1$ we recover the standard Meyers' exampl…

math.AP2025

Examples of $p$ -harmonic maps

Anna Balci, Linus Behn, Lars Diening +1

We construct explicit examples of $p$ -harmonic maps $u : R^{n} \to R^{N}$ . These are more irregular than the previously known examples and thus provide new upper bounds…

Gradient estimates for p(⋅)-harmonic differential forms

Nonlocal Meyers' Example

Examples of p-harmonic maps

Gradient estimates for $p (\cdot)$ -harmonic differential forms

Examples of $p$ -harmonic maps