Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2014

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

Résumé

In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near infinity.
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Dates et versions

hal-00994918 , version 1 (22-05-2014)

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Amal Attouchi. Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity. 2014. ⟨hal-00994918⟩
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