Three weak solutions for a class of quasilinear choquard equations involving the fractional p(x, .)-Laplacian operator with weight

Hanan Harcha; Hassan Belaouidel; Omar Chakrone; Najib Tsouli

doi:10.5269/bspm.62890

Hanan Harcha University Mohammed first https://orcid.org/0000-0002-4463-7754
Hassan Belaouidel University Mohammed first https://orcid.org/0000-0003-0770-2454
Omar Chakrone University Mohamed First https://orcid.org/0000-0002-2208-4220
Najib Tsouli University Mohammed first

Abstract

In this paper, we establish the existence of at least three weak solutions to a problem involving the the fractional p(x, .)- Laplacian operator with weight. Our method used for obtaining the existence of three solutions for a class of Choquard equations is based on the variational method concerned a type of version of Ricceri.

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