Multiple solutions for a Kirchhoff-type double phase problem involving variable exponents and two parameters
Abstract
In this paper, we study a class of Kirchhoff-type double phase equations with sublinear terms and two parameters in the framework of variable exponent function spaces. By employing a variant of the critical point theorem due to G. Bonanno, we establish the existence of at least three distinct solutions to the problem. Our result extends and complements recent contributions concerning double phase equations in the superlinear setting.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Electronic journal of qualitative theory of differential equations
- Issue
- 1
- Pages
- 1–18
- Publication date
- 1 January 2026
- Language
- ENG