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Conformal bounds for the first eigenvalue of the (p, q)-Laplacian system

Habibi Vosta Kolaei, M. J ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.5556/j.tkjm.55.2024.5188
  3. Publisher: Tamkang Journal OF Mathematics , 2024
  4. Abstract:
  5. Consider (M, g) as an m-dimensional compact connected Riemannian manifold without boundary. In this paper, we investigate the first eigenvalue λ1,p,q of the (p, q)-Laplacian system on M. Also, in the case of p, q > n we will show that for arbitrary large λ1,p,q there exists a Riemannian metric of volume one conformal to the standard metric of Sm. © 2024 Tamkang University. All rights reserved
  6. Keywords:
  7. Eigenvalue ; Geometric estimate ; q)-Laplacian system ; Riemannian metrics
  8. Source: Tamkang Journal of Mathematics ; Volume 55, Issue 4 , 2024 , Pages 371-389 ; 00492930 (ISSN)
  9. URL: https://journals.math.tku.edu.tw/index.php/TKJM/article/view/5188/1744