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arXiv · 2304.11066

Classification of solutions to Hardy-Sobolev Doubly Critical Systems

Francesco Esposito·Rafael López-Soriano·Berardino Sciunzi
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Abstract

This work deals with a family of Hardy-Sobolev doubly critical system defined in $\mathbb{R}^n$. More precisely, we provide a classification of the positive solutions, whose expressions comprise multiplies of solutions of the decoupled scalar equation. Our strategy is based on the symmetry of the solutions, deduced via a suitable version of the moving planes technique for cooperative singular systems, joint with the study of the asymptotic behavior by using the Moser's iteration scheme.

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Francesco Esposito, Rafael López-Soriano, Berardino Sciunzi. 2023-04-21. Classification of solutions to Hardy-Sobolev Doubly Critical Systems. https://arxiv.org/abs/2304.11066

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