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Abstract
In this paper, we prove that under weak assumptions on the reaction terms and diffusion coefficients, a positive solution exists for a one-dimensional case and a positive radial solution to a multidimensional case of a nonlocal elliptic problem. Additionally, we establish the uniqueness of the solution, with the fixed point theorem being the primary tool employed. Our results are new and generalize several existing results.
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Details
1 University of El Oued, Labo. Oper. Theo. and Part. Diff. Eq.: Foundations and Applications, El Oued, Algeria (GRID:grid.442435.0) (ISNI:0000 0004 1786 3961)
2 CMR, Military Academy, Science and Technology for Defense Lab LR19DN01, Tunis, Tunisia (GRID:grid.442435.0); Military Aeronautical Specialities School, Sfax, Tunisia (GRID:grid.442435.0); University of Sfax, Department of Mathematics, Faculty of Science, Sfax, Tunisia (GRID:grid.412124.0) (ISNI:0000 0001 2323 5644)
3 Qassim University, Department of Mathematics, College of Science, Buraydah, Saudi Arabia (GRID:grid.412602.3) (ISNI:0000 0000 9421 8094)