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September 10, 2025Advances in Calculus of Variations

Universality of renormalisable mappings in two dimensions: the case of polar convex integrands

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Authors

CIChristopher IrvingBVBenoît Van Vaerenbergh

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Overview

Analysis reveals universality of renormalised energy in mappings, suggesting implications for convex integrands.

Key Points

  • The analysis establishes the universality of renormalised energy for mappings from a planar domain.
  • Key evidence includes the derivation of leading order asymptotics for polar convex functionals.
  • This study relies on a ball merging construction generalizing results for p-harmonic mappings.
  • These findings may enable advances in understanding energy minimization in complex mappings.

Cite This Study

Irving et al. (2025) studied this question.

synapsesocial.com/papers/68c1a41654b1d3bfb60dee82https://doi.org/10.1515/acv-2024-0120
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