Symmetry analysis of the bidimensional Lane-Emden systems

DOI10.1016/J.JMAA.2011.11.024zbMath1298.35009OpenAlexW1981516410MaRDI QIDQ663677

Igor Leite Freire, Yuri Dimitrov Bozhkov

Publication date: 27 February 2012

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.2011.11.024

zbMATH Keywords

conservation lawsNoether symmetriesLane-Emden systemgroup-symmetry analysisintrinsic state of stars

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Galactic and stellar structure (85A15) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (10)

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 ⋮ Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry ⋮ On exact solutions of a multidimensional system of elliptic equations with power-law nonlinearities ⋮ Symmetry analysis and conservation laws for a coupled (2+1)-dimensional hyperbolic system ⋮ Lie group classification of a generalized Lane-Emden type system in two dimensions ⋮ 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 ⋮ The group classification of Lane-Emden systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pohozhaev and Morawetz identities in elastostatics and elastodynamics
• Positive solutions of Lane-Emden systems with negative exponents: existence, boundary behavior and uniqueness
• Lie point symmetries of the Lane-Emden systems
• First integrals for a generalized coupled Lane-Emden system
• Lagrangian approach to a generalized coupled Lane-Emden system: symmetries and first integrals
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Lane-Emden systems with negative exponents
• Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
• Noether, partial Noether operators and first integrals for the coupled Lane-Emden system
• Symmetry and integration methods for differential equations
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Non-existence of positive solutions of Lane-Emden systems
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• Lie symmetries and criticality of semilinear differential systems
• Hierarchy of conservation laws of diffusion-convection equations
• 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
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

This page was built for publication: Symmetry analysis of the bidimensional Lane-Emden systems