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Fecha
2025-08-27
Derechos de acceso
info:eu-repo/semantics/openAccess
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Khayyam Publishing, Inc.
Citas
Resumen
In 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.
Descripción
This 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/die038-1112-671
Este 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/die038-1112-671
Este 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/die038-1112-671
Categorías UNESCO
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Citación
Alejandro 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/die038-1112-671
Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales