Multiple solutions for a fractional p-Laplacian equation with sign-changing potential

الأصل · EN

We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-Δ)ˢₚu+V(x)|u|ᵖ⁻²u=f(x,u) in Rⁿ, where s ∈ (0,1), p ≥ 2, N ≥ 2, (-Δ)ˢₚ is the fractional p-Laplace operator, the nonlinearity f is p-superlinear at infinity and the potential V(x) is allowed to be sign-changing.