The existence of solutions for Hénon equation in hyperbolic space

DOI10.3792/pjaa.89.24zbMath1268.58019OpenAlexW2138916529MaRDI QIDQ1949992

Haiyang He

Publication date: 22 May 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1359554917

zbMATH Keywords

mountain pass theoremhyperbolic spaceHénon equationhyperbolic symmetry solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Positive solutions to PDEs (35B09)

Related Items (5)

Infinitely many solutions for a Hénon-type system in hyperbolic space ⋮ Infinitely many solutions for Hardy-Hénon type elliptic system in hyperbolic space ⋮ A critical exponent of Joseph-lundgren type for an Hénon equation on the hyperbolic space ⋮ Semilinear elliptic equations of the Hénon-type in hyperbolic space ⋮ Classification of radial solutions to Hénon type equation on the hyperbolic space

Cites Work

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• Multi-peak solutions for the Hénon equation with slightly subcritical growth
• Partial symmetry and asymptotic behavior for some elliptic variational problems
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• Poincaré-Sobolev equations in the hyperbolic space
• On the Hénon equation: asymptotic profile of ground states. II
• Non radial positive solution for the Hénon equation with critical growth
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• A priori bounds for positive solutions of nonlinear elliptic equations
• Multiplicity Results for the Supercritical Hénon Equation

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