S. Eriksson-Bique

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20242026

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math.AP2025

Uniqueness and nonuniqueness of $p$ -harmonic Green functions on weighted $R^{n}$ and metric spaces

Anders BjÃ¶rn, Jana BjÃ¶rn, Sylvester Eriksson-Bique +1

We study uniqueness of $p$ -harmonic Green functions in domains $I^c ◯$ in a complete metric space equipped with a doubling measure supporting a $p$ -PoincarÃ© inequality, with $1<p<\in…

math.AP2024

Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings

Sylvester Eriksson-Bique, Josh Kline

In this paper, we prove a self-improvement result for $(I^¸, p)$ -fractional Hardy inequalities, in both the exponent $1 < p < \infty$ and the regularity parameter $0 < I^¸ < 1$ , for bounded d…

Uniqueness and nonuniqueness of p-harmonic Green functions on weighted Rn and metric spaces

Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings

Uniqueness and nonuniqueness of $p$ -harmonic Green functions on weighted $R^{n}$ and metric spaces