A multiplicity results for a singular problem involving the fractionalp-Laplacian operator

A multiplicity results for a singular problem involving a Riemann-Liouville fractional derivative

“…Claim 2 : u 0 is a solution of problem (P λ ). Our proof is inspired by Ghanmi-Saoudi [5,6]. Let φ ∈ E α,p 0 and > 0.…”

Elliptic problem driven by different types of nonlinearities

“…A seminal work in the field of singularity driven problems is due to Lazer and Mc Kenna [27]. Thereafter the problems with singularity were studied by many researchers; see Ghanmi and Saoudi [22], Oliva and Petitta [31], Saoudi et al [37], and the references therein. Some of the other works that the readers can consult involve the fractional Laplacian operator (-) s when 2s < N and s ∈ (0, 1) are Chang and Wang [10] and Felmer et al [21].…”

Ground state solutions of p-Laplacian singular Kirchhoff problem involving a Riemann-Liouville fractional derivative

“…Recently, the study of the fractional elliptic equations with regular nolinearities and without a Kirchhoff coefficient has been attracted lot of interest by researchers in nonlinear analysis. The fractional boundary value problem using variational methods has been studied in [3,5,7,16,17,20,21,31,32] with references therein. Also, existence and multiplicity results for the Kirchhoff equations with regular nolinearities are shown an always increasing interest.…”