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Displaying similar documents to “Variational inequalities of strongly nonlinear elliptic operators of infinite order.”

Infinitely many solutions for Kirchhoff-type equations involving critical growth in Orlicz-Sobolev with negative energies

Elmostafa Bendib, Mustapha Khiddi (2025)

Applications of Mathematics

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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...