Critical points of solutions to a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions

2017/12/22 by Haiyun Deng, Deng, Haiyun, Hairong Liu +3
Computer Science · Mathematics · #35B38 #35J25 #35J93 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1712.08458

openalex publication_date 2017/12/22 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we mainly investigate the critical points associated to solutions u of a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions in a connected domain Ω in ℝ². Based on the fine analysis about the distribution of connected components of a super-level set \x∈ Ω: u(x)>t\ for any \mathop min_∂Ωu(x)

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