Existence and uniqueness of positive radial solutions for the Lane-Emden system

DOI10.1016/j.na.2004.02.018zbMath1069.34032OpenAlexW2154191191MaRDI QIDQ1879678

Robert Dalmasso

Publication date: 23 September 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.02.018

zbMATH Keywords

positive radial solutionsemilinear elliptic system

Mathematics Subject Classification ID

Related Items (23)

A priori bounds and existence of positive solutions of an elliptic system of Kirchhoff type in three or four space dimensions ⋮ Global behavior of positive solutions of a generalized Lane-Emden system of nonlinear differential equations ⋮ Uniqueness of the positive solution for a class of semilinear elliptic systems ⋮ Positive solutions for singular systems of three-point boundary value problems ⋮ On a class of singular superlinear elliptic systems in a ball ⋮ Existence and multiplicity of positive solutions for multi-parameter three-point differential equations system ⋮ A result on three solutions theorem and its application to \(p\)-Laplacian systems with singular weights ⋮ Symmetry properties of positive solutions for fully nonlinear elliptic systems ⋮ Existence of positive radial solutions for a semilinear elliptic system without variational structure ⋮ Existence of multiple positive solutions for the system of higher order boundary value problems on time scales ⋮ On the uniqueness and structure of solutions to a coupled elliptic system ⋮ Uniqueness results for higher order Lane-Emden systems ⋮ Ground state and non-ground state solutions of some strongly coupled elliptic systems ⋮ Uniqueness of positive solutions to some coupled cooperative variational elliptic systems ⋮ Existence of solutions to higher order Lane-Emden type systems ⋮ Shooting method with sign-changing nonlinearity ⋮ Existence and uniqueness of positive solutions for a class of semilinear elliptic systems ⋮ Positive solutions of three-point boundary value problems for systems of nonlinear second order ordinary differential equations ⋮ Uniqueness of positive solutions for a class of elliptic systems ⋮ On unique continuation principles for some elliptic systems ⋮ Existence of positive solution to singular systems of second-order four-point BVPs ⋮ On the classification of standing wave solutions to a coupled Schrödinger system ⋮ Existence, nonexistence and uniqueness for Lane–Emden type fully nonlinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Variational identities and applications to differential systems
• Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
• Uniqueness of positive solutions of nonlinear second order systems
• Uniqueness of positive solutions for some nonlinear fourth-order equations
• Existence and uniqueness of positive solutions of semilinear elliptic systems
• Differential systems with strongly indefinite variational structure
• Positive splutions of semilinear elliptic systems
• A rellich type identity and applications
• Uniqueness Theorems for Some Fourth-Order Elliptic Equations

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