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This research focuses on establishing the regularity of minimizing p-harmonic maps into spheres for p in the interval [2, 3].

Regularity of Minimizing p-Harmonic Maps Into Spheres and Sharp Kato Inequality

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This research focuses on establishing the regularity of minimizing p-harmonic maps into spheres for p in the interval [2, 3].
Combined Morrey's techniques and Hardt and Lin's Extension Theorem to analyze regularity for p in [2.961, 3].
Improved upon existing results by applying Kato inequality for p-harmonic maps in two-dimensional domains.
Achieved regularity for minimizing p-harmonic maps for p in the interval [2.961, 3].
Obtained results for a broader range with p from [2, p_0], where p_0 ≈ 2.366.
Proven a sharp Kato inequality that has implications for p-harmonic maps in other contexts.

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Randomized trial investigates regularity of minimizing p-harmonic maps in spheres, suggesting new mathematical insights.

Mazowiecka et al. (2023) studied this question.

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