Normalized solutions for double critical Schrödinger–Poisson system on the first Heisenberg group

Key Points

• This research aims to explore the existence and multiplicity of normalized solutions for a specific mathematical system.
• Utilized truncation techniques and concentration-compactness principle.
• Applied genus theory to establish results.
• Focused on the double critical Schrödinger–Poisson system within the first Heisenberg group.
• Established the existence of normalized solutions.
• Demonstrated that multiple solutions can exist for the Schrodinger-Poisson system.
• Findings enrich and supplement prior studies in the field.