A. Balci

collaborators

4 papers

math.AG2026

On the symplectic forms of Groechenig's Higgs moduli over an elliptic curve

Zelin Jia

Gorsky, Nekrasov, and Rubtsov introduced the moduli space of marked Higgs bundles over an elliptic curve $E$ and identified it with the Hilbert scheme of points on the cotangent bu…

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…

On the symplectic forms of Groechenig's Higgs moduli over an elliptic curve

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