Asymptotic behavior of stable radial solutions of semilinear elliptic equations in \(\mathbb R^N\)

DOI10.1016/j.matpur.2007.06.004zbMath1163.35020OpenAlexW2059396777MaRDI QIDQ2385798

Salvador Villegas

Publication date: 15 October 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.06.004

zbMATH Keywords

semilinear elliptic equationsoptimal decaystable radial solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60)

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Cites Work

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• Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations
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• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property