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

Ramya Dutta; Pierre-Damien Thizy

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arXiv · 2407.18354

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

Ramya Dutta·Pierre-Damien Thizy

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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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Ramya Dutta, Pierre-Damien Thizy. 2024-07-25. A Symmetry problem for some quasi-linear equations in Euclidean space. https://arxiv.org/abs/2407.18354

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