A Symmetry problem for some quasi-linear equations in Euclidean space

2024/07/25 by Dutta, Ramya, Thizy, Pierre-Damien
#35B06 #35B33 #35B44 #35B45 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.18354

Abstract

We prove sharp asymptotic estimates for the gradient of positive solutions to certain nonlinear p-Laplace equations in Euclidean space by showing symmetry and uniqueness of positive solutions to associated limiting problems.

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