Semilinear elliptic equations of the Hénon-type in hyperbolic space

DOI10.1142/S0219199715500261zbMath1337.58013MaRDI QIDQ2796988

Luiz F. O. Faria, Paulo Cesar Carrião, Olímpio Hiroshi Miyagaki

Publication date: 30 March 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

positive solutionshyperbolic spaceHénon problemMountain pass theoremSobolev with weights

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational principles in infinite-dimensional spaces (58E30) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (2)

Infinitely many solutions for a Hénon-type system in hyperbolic space ⋮ A subset of Caffarelli-Kohn-Nirenberg inequalities in the hyperbolic space \(\mathbb {H}^N\)

Cites Work

• Unnamed Item
• Minimax theorems
• The existence of solutions for Hénon equation in hyperbolic space
• Dual variational methods in critical point theory and applications
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• On a semilinear elliptic equation in Hn
• QUASILINEAR ELLIPTIC EQUATIONS OF THE HENON-TYPE: EXISTENCE OF NON-RADIAL SOLUTIONS
• Multiplicity Results for the Supercritical Hénon Equation

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