\(p\)-Laplacian Keller-Segel equation: fair competition and diffusion-dominated cases

DOI10.1016/J.CRMA.2019.03.002zbMath1414.35118arXiv1809.11053OpenAlexW2893925694WikidataQ128097813 ScholiaQ128097813MaRDI QIDQ2419646

Samir Salem, Laurent Lafleche

Publication date: 14 June 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.11053

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• A degenerate \(p\)-Laplacian Keller-Segel model
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Fast/slow diffusion and collapsing sandpiles,
• Fast/slow diffusion and growing sandpiles
• Equilibria of homogeneous functionals in the fair-competition regime
• <b>Remarks on Kato's inequality when </b>∆<i>_p</i><i>u </i><b>is a measure </b>
• Some remarks on Kato's inequality
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