An end-point global gradient weighted estimate for quasilinear equations\n in non-smooth domains

2014/12/22 by Karthik Adimurthi, Adimurthi, Karthik, Nguyen Cong Phuc +1
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1412.7057

openalex publication_date 2014/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A weighted norm inequality involving A₁ weights is obtained at the natural\nexponent for gradients of solutions to quasilinear elliptic equations in\nReifenberg flat domains. Certain gradient estimates in Lorentz-Morrey spaces\nbelow the natural exponent are also obtained as a consequence of our analysis.\n

Citations

• Solution of the Plateau problem for m-dimensional surfaces of varying topological type

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