Uniqueness of Positive Radial Solutions To Singular Critical Growth Quasilinear Elliptic Equations

2015/03/20 by Chengjun He, He, Cheng-Jun, Chang-Lin Xiang +1
Computer Science · Mathematics · #35A24 #35B33 #35B40 #35J75 #35J92 #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.1503.06234

openalex publication_date 2015/03/20 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that there exists at most one positive radial weak solution to the following quasilinear elliptic equation with singular critical growth \begincases -Δ_pu- \fracμ|x|^p|u|^p-2u =\frac|u|^{((N-s)p)/(N-p)-2}u|x|^s+λ|u|^p-2u amp; in B,
u=0 amp; on ∂ B, \endcases where B is an open finite ball in ℝ^N centered at the origin, 1

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