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PreprintarXiv licencearXiv

Eigenvalue comparison theorems for the Witten-Laplacian and the weighted p-Laplacian on complete manifolds with a modified Ricci curvature bounded from below

  • Ruifeng Chen
  • Qiyue Ma
  • Jing Mao
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Abstract

In this paper, for complete manifolds with a modified Ricci curvature bounded from below, we can successfully set up Cheng-type eigenvalue comparison theorems for the first Dirichlet eigenvalues of the Witten-Laplacian and the weighted p-Laplacian on geodesic balls of these manifolds.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026eigenvalue,
  title = {{Eigenvalue comparison theorems for the Witten-Laplacian and the weighted $p$-Laplacian on complete manifolds with a modified Ricci curvature bounded from below}},
  author = {Ruifeng Chen and Qiyue Ma and Jing Mao},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.04588},
  eprint = {2607.04588},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.04588},
}
RIS
TY  - UNPB
TI  - Eigenvalue comparison theorems for the Witten-Laplacian and the weighted p-Laplacian on complete manifolds with a modified Ricci curvature bounded from below
AU  - Ruifeng Chen
AU  - Qiyue Ma
AU  - Jing Mao
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2607.04588
UR  - https://arxiv.org/abs/2607.04588
AB  - In this paper, for complete manifolds with a modified Ricci curvature bounded from below, we can successfully set up Cheng-type eigenvalue comparison theorems for the first Dirichlet eigenvalues of the Witten-Laplacian and the weighted p-Laplacian on geodesic balls of these manifolds.
ER  -