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PreprintarXiv licencearXiv

Lp Brunn-Minkowski inequality for the eigenvalue of generalized Monge-Ampère equation

  • Yuxiao Yan
  • Feida Jiang
Open at sourcePDFDOICite

Abstract

We investigate the eigenvalue of a generalized Monge-Ampère equation. We proved that the eigenvalue of the equation on the Lp Minkowksi addition of two convex bodies satisfies the Lp Brunn-Minkowski inequality.

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Cite

BibTeXRIS
BibTeX
@misc{yan2026brunnminkowski,
  title = {{Lp Brunn-Minkowski inequality for the eigenvalue of generalized Monge-Ampère equation}},
  author = {Yuxiao Yan and Feida Jiang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00743},
  eprint = {2609.00743},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00743},
}
RIS
TY  - UNPB
TI  - Lp Brunn-Minkowski inequality for the eigenvalue of generalized Monge-Ampère equation
AU  - Yuxiao Yan
AU  - Feida Jiang
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00743
UR  - https://arxiv.org/abs/2609.00743
AB  - We investigate the eigenvalue of a generalized Monge-Ampère equation. We proved that the eigenvalue of the equation on the Lp Minkowksi addition of two convex bodies satisfies the Lp Brunn-Minkowski inequality.
ER  -