This work establishes local and global existence of weak solutions for a triharmonic equation with logarithmic nonlinearity, indicating significant mathematical implications.
In this work, we study the singular ‐triharmonic equation with logarithmic nonlinearity. We establish the local existence by the existence by the technique of cut‐off combining with the Faedo–Galerkin approximation. Based on the potential well method, the global existence of the weak solution is derived.
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Fidan et al. (2026) studied this question.
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