On a Schrödinger--Kirchhoff Type Equation Involving the Fractional p-Laplacian without the Ambrosetti--Rabinowitz Condition.

Autor: Bouabdallah, Mohamed, Chakrone, Omar, Chehabi, Mohammed
Předmět:
Zdroj: Journal of Mathematical Physics, Analysis, Geometry (18129471); 2024, Vol. 20 Issue 1, p41-65, 25p
Abstrakt: In this paper, we consider the existence and multiplicity of many weak solutions for the following fractional Schrodinger-Kirchhoff type equation: ... where N > sp, a,b > 0 are constants, A is a parameter, (--Δ)sp is the fractional p-Laplacian operator with 0 < s <1 < p < ∞, nonlinearity f(x,u) and potential function V(x) satisfy some suitable assumptions. Under those conditions, some new results are obtained for λ > 0 large enough by applying the variation methods. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index