Infinitely many solutions for a Hénon-type system in hyperbolic space

DOI10.1186/s13662-019-2469-6zbMath1487.58014arXiv1808.03674OpenAlexW3028757372WikidataQ126343476 ScholiaQ126343476MaRDI QIDQ2144033

Flávio Almeida Lemos, Patrícia L. Cunha

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03674

zbMATH Keywords

variational methodshyperbolic spaceHénon equation

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) Singular elliptic equations (35J75)

Cites Work

• Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\)
• Some remarks on a system of quasilinear elliptic equations
• The existence of solutions for Hénon equation in hyperbolic space
• Semilinear elliptic equations of the Hénon-type in hyperbolic space
• Infinitely many solutions for Hardy-Hénon type elliptic system in hyperbolic space
• Systems of_p-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
• On Superquadratic Elliptic Systems
• Strongly indefinite functionals and multiple solutions of elliptic systems
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
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