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Keywords:
Kirchhoff type problem; Orlicz-Sobolev space; $\Delta _{2}$-condition
Kirchhoff type problem; Orlicz-Sobolev space; $\Delta _{2}$-condition
Summary:
We investigate a class of Kirchhoff-type equations characterized by critical growth within Orlicz-Sobolev spaces. The main result establishes the existence of infinitely many solutions with negative energy. Using an adapted concentration-compactness principle and advanced variational methods, we overcome key challenges such as non-compactness and non-differentiability to the associated functionals. This work extends existing results to more general functional spaces, offering new insights into nonlocal nonlinear equations.
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