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Bibliographic Details
Main Authors: da Silva, João Vitor, Santos, Makson S., Soares, Mayra
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.18994
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Table of Contents:
  • In this work, we tackle the higher regularity estimates of solutions to inhomogeneous $\infty-$Laplacian equations at interior critical points. Our estimates provide smoothness properties better than the corresponding available regularity for the model with bounded forcing terms. We explore several scenarios, thereby obtaining improved regularity estimates, which depend on the universal parameters of the model. Our findings connect with nowadays well-known estimates developed for obstacle and dead-core type problems.