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Received April 12, 2022; Accepted September 14, 2022; Published October 26, 2022
Abstract The aim of this paper is to study the following problem with the p-Laplacian fractional involving singular weights
where is a bounded domain of with smooth boundary . The existence and the properties of the principal eigenvalue, such as simplicity, isolation, and corresponding eigenfunctions are obtained. Finally, we study the nonexistence of solutions by using a type version of Picone’s identity.
How to Cite this Article:
H. Harcha, O. Chakrone, N. Tsouli, On the nonlinear eigenvalue problems involving the fractional p-Laplacian operator with singular weight, J. Nonlinear Funct. Anal. 2022 (2022) 40.