Boletim da Sociedade Paranaense de Matemática (Apr 2024)

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
https://doi.org/10.5269/bspm.62890
Journal volume & issue
Vol. 42

Abstract

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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.