Existence of weak positive solutions in anisotropic Musielak–Orlicz–Sobolev spaces for (μ(·), ν(·))-Laplacian-type Kirchhoff models

Key Points

• The paper aims to demonstrate the existence of multiple positive weak solutions for specific Kirchhoff-type problems.
• Analysis of elliptic Kirchhoff equations with Dirichlet boundary conditions.
• Utilization of Musielak–Orlicz spaces to address anisotropic features.
• Application of variational methods to establish solution existence.
• Infinitely many positive weak solutions exist for the studied Kirchhoff-type problems.
• Demonstrated the application of Musielak–Orlicz spaces in establishing existence results.
• Found conditions under which these solutions behave positively in the anisotropic context.