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On the influence of the kernel of the bi-harmonic operator on fourth order equations with exponential growth

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  • Continuing the analysis of [1, 9, 10], we discuss in this note the influence of the Kernel of the bi-harmonic operator $\Delta^2$ on the behavior of families of solutions to $\Delta^2u = e^(4u)$ on a four-dimensional domain of the Euclidean space. We also make a remark on the Paneitz-type equation in the context of compact Riemannian manifolds.
    Mathematics Subject Classification: Primary 35J35; Secondary 35B40.


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