@misc{10481/104102,
year = {2025},
month = {4},
url = {https://hdl.handle.net/10481/104102},
abstract = {In this paper we study a class of Hardy–Sobolev type systems defined in RN 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.},
organization = {CRUE-CSIC agreement with Springer Nature},
organization = {MICIN/AEI through the Grant PID2021-123151NB-I00},
organization = {MICIN/AEI through the Grant PID2021-122122NB-I00},
organization = {IMAG-Maria de Maeztu Excellence
Grant CEX2020-001105-M},
organization = {Research Group FQM-116},
organization = {Juan de la Cierva Incorporación fellowship (JC2020-046123-I), funded by
MCIN/AEI/10.13039/501100011033},
organization = {European Union Next Generation EU/PRTR},
publisher = {Springer Nature},
title = {Existence of solutions for a system with general Hardy–Sobolev singular criticalities},
doi = {10.1007/s00526-025-02990-y},
author = {Arroyo, Ángel and López Soriano, Rafael and Ortega, Alejandro},
}