Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli

DOI10.1016/j.anihpc.2013.08.006zbMath1332.35154OpenAlexW2061955901MaRDI QIDQ477442

Goro Akagi, Ryuji Kajikiya

Publication date: 9 December 2014

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2013.08.006

zbMATH Keywords

fast diffusion equationstability analysissemilinear elliptic equationsymmetry breakingasymptotic profile

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

Stability of non-isolated asymptotic profiles for fast diffusion ⋮ Asymptotics near extinction for nonlinear fast diffusion on a bounded domain ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods ⋮ Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains

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• Uniqueness of solutions of nonlinear Dirichlet problems

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