Variational analysis of Kirchhoff equations in Musielak-Orlicz-Zygmund spaces
DOI:
https://doi.org/10.24193/subbmath.2026.2.09Keywords:
Kirchhoff equations, double-phase problem, Musielak- Orlicz-Zygmund spaces, weak solutions, variational approachesAbstract
We study a class of nonlocal Kirchhoff problems with nonlinearities exhibiting nonstandard growth. Using variational methods in Musielak-Orlicz Zygmund spaces, we prove the existence of nontrivial weak solutions. The analysis uses generalized N-functions, Orlicz-Zygmund embeddings, pseudo-monotone operators, and the Palais-Smale condition, which allow handling double-phase and nonlocal Kirchhoff terms. The results extend classical variational methods to settings with borderline and logarithmic growth.
Mathematics Subject Classification (2010): 35J60, 58J05.
Received 03 December 2025; Accepted 18 February 2026.
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