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

V. A. Galaktionov

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arXiv · 0903.0981

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

V. A. Galaktionov

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Abstract

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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V. A. Galaktionov. 2009-03-05. Three tupes of self-similar blow-up for the fourth-order p-Laplacian equaiton with source: variational and branching approaches. https://arxiv.org/abs/0903.0981

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