Existence and non-existence results for parabolic systems with an Hardy-Leray potential

The authors thank the anonymous eferee for his/her helpful comments that improved the quality of the manuscript. Part of this work was carried out while the first and the third authors were visiting the department of mathematics at University Autonoma of Madrid. The first author is partially supported by an Erasmus grant from Autonoma University of Madrid, Spain, and University of Tlemcen, Algeria. Giovanni Siclari is a member of the GNAMPA-INdAM. G. Siclari is partially supported by the MURPRIN project no. 20227HX33Z “Pattern formation in nonlinear phenomena” granted by the European Union – Next Generation EU. A. Primo is supported by Ayuda de Excelencia al profesorado universitario PRICIT and project PID2023-150166NB-I00, “EDPS NO-LINEALES: FLUJOS, DESIGUALDADES Y GEOMETRIA”