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Gradient rearrangement estimates for singular and degenerate anisotropic $p$-Laplace equations

Year: 2026

Type: preprint

Abstract: In this paper, we prove global pointwise estimates on the decreasing rearrangement $u^{\ast}$ and $[H(\nabla u)]^{\ast}$ of SOLAs $u$ of an elliptic Poisson equation driven by the anisotropic $p$-Laplace operator $Δ_p^H$ for given $L^1$-data and equipped with either homogeneous Dirichlet or Neumann boundary conditions. Here, we assume that the dimension $n\ge 2$, \(1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.13226

Authors: Chen, Lu, Hauer, Daniel, Yang, Yabo

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, China Scholarship Council, Beijing Institute of Technology

Award: G6591708273

OpenAlex ID: W7221549933

Cites: 1

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Related to: 10