Ortega García, Alejandro2025-10-152025-10-152025-08-27Alejandro Ortega. "Fractional Schrödinger systems coupled by Hardy-Sobolev critical terms." Differential Integral Equations 38 (11/12) 671 - 700, November/December 2025. https://doi.org/10.57262/die038-1112-6710893-4983https://doi.org/10.57262/die038-1112-671https://hdl.handle.net/20.500.14468/30419This is a Submitted Manuscript of an article published in Differential Integral Equations 38 (11/12) 671 - 700, available online at: https://doi.org/10.57262/die038-1112-671Este es el manuscrito enviado del artículo publicado en Differential Integral Equations 38 (11/12) 671 - 700, disponible en línea en: https://doi.org/10.57262/die038-1112-671In this work, we analyze a class of nonlinear fractional elliptic systems involving Hardy-type potentials and coupled by critical Hardy-Sobolev-type nonlinearities in RN. Due to the lack of compactness at the critical exponent the variational approach requires a careful analysis of the Palais-Smale sequences. In order to overcome this loss of compactness, by means of a concentration– compactness argument the compactness of PS sequences is derived. This, combined with a energy characterization of the semi-trivial solutions, allow us to conclude the existence of positive ground and bound state solutions in terms of coupling parameter ν>0 and the involved exponents α,β.eninfo:eu-repo/semantics/openAccess12 Matemáticasartículo