Choudhuri D.; Alkhal R.; Saoudi K.2025-02-1720240http://dx.doi.org/10.1080/17476933.2024.2310225https://idr.iitbbs.ac.in/handle/2008/5527The aim of this work is to study the elliptic problem: (Formula presented.) under some conditions on the nonlinearity f. Here (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.). We will prove the existence of at least one solution using the variational principle and the Mountain pass theorem. � 2024 Informa UK Limited, trading as Taylor & Francis Group.en35J60; 35J75; 35R11; 46E35; fractional p-laplacian; mountain pass theorem; singularity; Variational principleArticle