Normalized solutions for a fractional Kirchhoff-Schrodinger-Poisson systems with critical growth
Abstract
In this article, we study the fractional Kirchhoff-Schrödinger-Poisson system with Sobolev critical growthwhere a, b > 0, s ∈ ( 3 4 , 1), p ∈ (2, 2 * s ), and µ > 0 is a parameter, λ ∈ R is an undermined parameter.For this problem, under the L 2 -subcritical, p ∈ (2, 4s 3 +2), we obtain the multiplicity of the normalized solutions by means of the truncation technique, concentration-compactness principle, and genus theory.In the L 2 -supercritical, p ∈ ( 8s 3 + 2, 2 * s ), we prove a couple of normalized solutions by developing a fiber map and using the concentration-compactness principle.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Electronic Journal of Differential Equations
- Volume
- 2026
- Issue
- 01-??
- Pages
- 03–03
- Publication date
- 10 January 2026