Global regularity of solutions to quasilinear conormal derivative problem with controlled growth

2011/04/18 by Doyoon Kim, Kim, Doyoon · 1 citation
Computer Science · Mathematics · #35B65 #35J25 #35J62 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:35B65 #msc:35J25 #msc:35J62

paper · pdf · doi:10.48550/arxiv.1104.3394

Added references. Corrected typos

openalex publication_date 2011/04/18 · arxiv created 2011/05/10 · arxiv updated 2011/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the global regularity of weak solutions to the conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

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• Non-homogeneous conormal derivative problem for quasilinear elliptic equations with Morrey data

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