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PreprintarXiv licencearXiv

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 ℝ2 and ℝ3. 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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Cite

BibTeXRIS
BibTeX
@misc{sciunzi2026rigidity,
  title = {{Rigidity results via a Poincaré type formula for stable solutions of quasilinear anisotropic elliptic equations}},
  author = {Berardino Sciunzi and Domenico Vuono},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16959},
  eprint = {2609.16959},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16959},
}
RIS
TY  - UNPB
TI  - Rigidity results via a Poincaré type formula for stable solutions of quasilinear anisotropic elliptic equations
AU  - Berardino Sciunzi
AU  - Domenico Vuono
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16959
UR  - https://arxiv.org/abs/2609.16959
AB  - In this paper we prove some one-dimensional symmetry results for stable solutions to quasilinear anisotropic elliptic equations in ℝ^2 and 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}.
ER  -