Chiti-type Reverse Hölder Inequality and Saint-Venant Theorem for Wedge Domains on Spheres

Hasnaoui, Abdelhalim; Zaghdani, Abdelhamid

doi:10.28924/2291-8639-22-2024-87

Research Article

Chiti-type Reverse Hölder Inequality and Saint-Venant Theorem for Wedge Domains on Spheres

Abdelhalim Hasnaoui*
Abdelhamid Zaghdani

* Corresponding author

Abstract

In this paper, we prove a new weighted reverse Hölder inequality for the first eigenfunction of the Dirichlet eigenvalue problem in a domain completely contained in a wedge in the sphere S². This inequality is known as the Payne-Rayner inequality or Chiti-type inequality. We also prove an extension of Saint-Venant inequality for the relative torsional rigidity of such domains.

How to Cite

A. Hasnaoui, A. Zaghdani, Chiti-type Reverse Hölder Inequality and Saint-Venant Theorem for Wedge Domains on Spheres, Int. J. Anal. Appl. 22 (2024), 87. https://doi.org/10.28924/2291-8639-22-2024-87

BibTeX

@article{Hasnaoui2024,
  author  = {Hasnaoui, Abdelhalim and Zaghdani, Abdelhamid},
  title   = {Chiti-type Reverse Hölder Inequality and Saint-Venant Theorem for Wedge Domains on Spheres},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {87},
  doi     = {10.28924/2291-8639-22-2024-87}
}

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