Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator
Analysis of PDEs
2026-04-08 v2
Abstract
Our main goal is to explicitly compute the best constant for the Sobolev-type inequality involving the polyharmonic operator obtained in (Analysis and Applications 22, pp. 1417-1446, 2024). To achieve this goal, we also establish both regularity and classification results for a generalized critical polyharmonic equation in the radial setting.
Cite
@article{arxiv.2505.09035,
title = {Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator},
author = {José Francisco de Oliveira and Jeferson Silva},
journal= {arXiv preprint arXiv:2505.09035},
year = {2026}
}