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A nonlinear problem related to optimal insulation

  • Genival da Silva
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Abstract

We study a generalization of the classical optimal insulation problem by replacing the standard Laplacian with the \ti{p-Laplacian}, leading to a \ti{p-Poisson equation} with Robin boundary conditions. We also investigate the corresponding eigenvalue problem. This work extends and complements some results from \cite{bu1,pietra1,pietra2} to the nonlinear setting.

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Cite

BibTeXRIS
BibTeX
@misc{silva2026nonlinear,
  title = {{A nonlinear problem related to optimal insulation}},
  author = {Genival da Silva},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14152},
  eprint = {2609.14152},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14152},
}
RIS
TY  - UNPB
TI  - A nonlinear problem related to optimal insulation
AU  - Genival da Silva
PY  - 2026
DA  - 2026/09/12
PB  - arXiv
DO  - 10.48550/arxiv.2609.14152
UR  - https://arxiv.org/abs/2609.14152
AB  - We study a generalization of the classical optimal insulation problem by replacing the standard Laplacian with the \ti{p-Laplacian}, leading to a \ti{p-Poisson equation} with Robin boundary conditions. We also investigate the corresponding eigenvalue problem. This work extends and complements some results from \cite{bu1,pietra1,pietra2} to the nonlinear setting.
ER  -