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On Brezis Open Problem 3.1

Year: 2026

Type: preprint

Abstract: Let $B_1$ be the unit disk in ${\mathbb R}^2$. We consider the harmonic map equation $$ -Δu=|\nabla u|^2u,$$ subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\sinθ,\sqrt{1-R^2}):=g_R$, where $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.08648

Authors: Guo, Qi, Huang, Xueping, Huang, Yi C., Lin, Fanghua, Wei, Juncheng

Institution: Nanjing Normal University

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7164004396

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