Three tupes of self-similar blow-up for the fourth-order p-Laplacian equaiton with source: variational and branching approaches

Mathematics – Analysis of PDEs

Scientific paper

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39 pages, 24 figures

Scientific paper

The fourth-order quasilinear reaction-diffusion equation with a p-Laplacian
operator is shown to admit three types of blow-up. Self-similar patterns are
first constructed for the regional blow-up case, where the rescaled problem
admits a variational setting. Next, these were extended via a branching
approach to non-variational problems.

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