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arXiv · 2505.09035

Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator

José Francisco de Oliveira·Jeferson Silva
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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.

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José Francisco de Oliveira, Jeferson Silva. 2025-05-14. Minimizers and best constants for a weighted critical Sobolev inequality involving the polyharmonic operator. https://doi.org/10.1142/s0219530526500478

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