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

Fuente: arXiv
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Hauptverfasser: Dutta, Ramya, Thizy, Pierre-Damien
Format: Preprint
Veröffentlicht: 2024
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author Dutta, Ramya
Thizy, Pierre-Damien
author_facet Dutta, Ramya
Thizy, Pierre-Damien
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18354
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Symmetry problem for some quasi-linear equations in Euclidean space
Dutta, Ramya
Thizy, Pierre-Damien
Analysis of PDEs
35B06, 35B33, 35B44, 35B45, 35J92
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.
title A Symmetry problem for some quasi-linear equations in Euclidean space
topic Analysis of PDEs
35B06, 35B33, 35B44, 35B45, 35J92
url https://arxiv.org/abs/2407.18354