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Bibliographic Details
Main Authors: Koch, Lukas, Schäffner, Mathias
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.18401
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Table of Contents:
  • In this manuscript, we provide local $L^q$-estimates for the gradient of solutions of a class of quasilinear equations whose principal part lacks strong monotonicity. These estimates are used to establish uniform large-scale $L^q$-estimates for the gradient of solutions of degenerate/singular quasilinear equations with oscillating coefficients and large-scale Lipschitz estimates for solutions of non-degenerate equations.