Classification of radial solutions to Hénon type equation on the hyperbolic space

DOI10.12775/TMNA.2019.026zbMath1429.58027OpenAlexW2960630607MaRDI QIDQ2336079

Shoichi Hasegawa

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1562551224

zbMATH Keywords

semilinear elliptic equationdecay ratesign-changing solutions

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) Asymptotic behavior of solutions to equations on manifolds (58K55)

Related Items (1)

Separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds

Cites Work

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• A critical exponent of Joseph-lundgren type for an Hénon equation on the hyperbolic space
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• Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\)
• Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
• The existence of solutions for Hénon equation in hyperbolic space
• Poincaré-Sobolev equations in the hyperbolic space
• Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models
• On the positive, “radial” solutions of a semilinear elliptic equation in N $\mathbb {H}^N$
• On a semilinear elliptic equation in Hn
• Semilinear elliptic equations of Matukuma-type and related topics
• Existence of nodal fast-decay solutions to Δu+K(|x|)|u|p−1u = 0 IN Rn
• Structure of Radial Solutions to $\Delta u + K(|x|)|u|^{p - 1} u = 0$ in ${\bf R}^n $

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