Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

2018/04/12 by Ghergu, Marius, Kim, Sunghan, Shahgholian, Henrik
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.04287

Abstract

We study the semilinear elliptic equation -Δu=u^α|log u|^β\quadin B₁∖\0\, where B₁⊂ℝⁿ with n≥ 3, (n)/(n-2) < α< (n+2)/(n-2) and -∞

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