Some existence results of multiple normalized solutions to critical Kirchhoff–Choquard equation in R N ${\mathbb{R}}^{N}$
Abstract
Abstract The paper intends to prove the existence of multiple normalized solutions for the critical Kirchhoff–Choquard equation, and the main feature of our paper is the simultaneous appearance of critical term, nonlocal term, and potential function, which will inevitably lead to many difficulties. With the aid of the minimization techniques, truncated method, variational methods and Lusternik–Schnirelmann category, we obtain the existence of normalized solutions. Moreover, in order to overcome the loss of compactness of the energy functional due to the critical growth, the concentration-compactness principle is needed to overcome this difficulty. To some extent, our main conclusions extend and complement some previous results.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Stability and Controllability of Differential Equations
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- Demonstratio Mathematica
- Publisher
- Walter de Gruyter GmbH
- Volume
- 59
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN