Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p ‐Kirchhoff Equation

Puntos clave

• This study aims to determine the existence, non-existence, and uniqueness of solutions for a new class of generalized fractional Kirchhoff equations.
• Analyzed the parameter values of generalized fractional Kirchhoff equations
• Utilized Pohozaev and Nehari identities for an auxiliary problem
• Applied fractional Gagliardo–Nirenberg inequality
• Employed the concentration–compactness principle
• Proved that all optimizer solutions to the auxiliary problem are unique
• Demonstrated the existence of global solutions for certain parameter values
• Established non-existence conditions for specific scenarios.

Resumen