Lie point symmetries of the Lane-Emden systems

DOI10.1016/j.jmaa.2004.02.022zbMath1052.37059OpenAlexW1979705217MaRDI QIDQ596721

Antonio Carlos Gilli Martins, Yuri Dimitrov Bozhkov

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.022

zbMATH Keywords

Lie point symmetriesLane-Emden systems

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

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Variational approach and exact solutions for a generalized coupled Zakharov-Kuznetsov system ⋮ Coupled Lane-Emden-Klein-Gordon-Fock system with central symmetry: symmetries and conservation laws ⋮ First integrals for a generalized coupled Lane-Emden system ⋮ Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry ⋮ On the symmetry analysis and conservation laws of the (1 + 1)-dimensional Hénon-Lane-Emden system ⋮ On the Lane-Emden system in dimension one ⋮ Group analysis of a hyperbolic Lane-Emden system ⋮ Symmetry analysis of the bidimensional Lane-Emden systems ⋮ Liouville theorems for radial solutions of semilinear elliptic equations ⋮ A variational formulation approach to a generalized coupled inhomogeneous Emden–Fowler system ⋮ Lie Group Classification for a Generalised Coupled Lane-Emden System in Dimension One ⋮ Divergence symmetries of semilinear polyharmonic equations involving critical nonlinearities ⋮ Lagrangian approach to a generalized coupled Lane-Emden system: symmetries and first integrals ⋮ The group classification of Lane-Emden systems ⋮ Lagrangian formulation of a generalized Lane-Emden equation and double reduction ⋮ Group classification of the generalized Emden-Fowler-type equation ⋮ An invitation to modern group analysis of differential equations

Cites Work

• The concentration-compactness principle in the calculus of variations. The limit case. I
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Non-existence of positive solutions of Lane-Emden systems
• Global and local behavior of positive solutions of nonlinear elliptic equations
• A rellich type identity and applications
• Symmetry of ground states for a semilinear elliptic system
• Asymptotic behaviour of ground states
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