A note on the classification of positive solutions to the critical p-Laplace equation in ℝⁿ

2023/04/05 by Vétois, Jérôme
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.02600

Abstract

In this note, we obtain a classification result for positive solutions to the critical p-Laplace equation in ℝⁿ with n≥4 and p>p_n for some number p_n∈((n)/(3),(n+1)/(3)) such that p_n∼(n)/(3)+(1)/(n), which slightly improves upon a similar result recently obtained by Ou under the condition p≥(n+1)/(3).

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