Existence of solutions for a system with general Hardy--Sobolev singular criticalities
| Autor: | Arroyo, Ángel, López-Soriano, Rafael, Ortega, Alejandro |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper we study a class of Hardy--Sobolev type systems defined in $\mathbb{R}^N$ and coupled by a singular critical Hardy--Sobolev term. The main novelty of this work is that the orders of the singularities are independent and contained in a wide range. By means of variational techniques, we will prove the existence of positive bound and ground states for such a system. In particular, we find solutions as minimizers or Mountain--Pass critical points of the energy functional on the underlying Nehari manifold. Comment: arXiv admin note: text overlap with arXiv:2211.17047 |
| Databáze: | arXiv |
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