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arXiv · 2609.16959

Rigidity results via a Poincaré type formula for stable solutions of quasilinear anisotropic elliptic equations

Berardino Sciunzi·Domenico Vuono
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Abstract

In this paper we prove some one-dimensional symmetry results for stable solutions to quasilinear anisotropic elliptic equations in $\mathbb R^2$ and $\mathbb R^3$. In this regard, we give an extension of a formula obtained in \cite{SZ1,SZ2, FSV}. The techniques used are inspired by the works of \cite{Fhdr,FSV}.

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Berardino Sciunzi, Domenico Vuono. 2026-09-15. Rigidity results via a Poincaré type formula for stable solutions of quasilinear anisotropic elliptic equations. https://arxiv.org/abs/2609.16959

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