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September 10, 2025Comptes Rendus MathématiqueOpen Access

Uniform regularity and weight estimates for the Poisson problems when rounding off the conical points

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Authors

BDBenoît DanielSLSimon LabrunieVNVictor Nistor

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Overview

This analysis demonstrates uniform solvability for Poisson problems in domains with conical points, highlighting geometric influences.

Key Points

  • Uniform solvability estimates are established for Poisson problems related to conical points in domains.
  • A sequence of smooth domains converging to a conical point domain is provided as a primary example.
  • The proof method uses conformal modifications of metrics, ensuring domains have relative bounded geometry.
  • Insights into geometric structures are critical for understanding behavior near conical points in the context of Poisson problems.

Cite This Study

Daniel et al. (2025) studied this question.

synapsesocial.com/papers/68c1924e9b7b07f3a061686chttps://doi.org/10.5802/crmath.770
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