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This is a Quantitative Study study.

September 23, 2025MathematicsOpen Access

On a p(x)-Biharmonic Kirchhoff Problem with Logarithmic Nonlinearity

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A nontrivial weak solution exists for the p(x)-biharmonic Kirchhoff problem.
The analysis employs the mountain pass theorem to establish this existence.
The problem involves logarithmic nonlinearity that adds complexity to the solution space.
This study extends the understanding of solutions in variational problems.

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Analysis reveals a nontrivial weak solution to the p(x)-biharmonic Kirchhoff problem, indicating the effectiveness of the mountain pass theorem.

Pan et al. (2025) studied this question.

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Analysis reveals a nontrivial weak solution to the p(x)-biharmonic Kirchhoff problem, indicating the effectiveness of the mountain pass theorem.