2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67878This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type. By means of blow-up analysis techniques, we prove an a-priori estimate in a weighted space of continuous functions. From this compactness result, the existence of a solution to our problem is proved by exploiting the homotopy invariance of the Leray-Schauder degree.34 pagesAnalysis of PDEs35J70, 35B33, 35B45text