Existence of positive radial solutions for a semilinear elliptic system without variational structure

DOI10.1016/j.na.2006.07.012zbMath1191.35120OpenAlexW1980247860MaRDI QIDQ884509

Robert Dalmasso

Publication date: 6 June 2007

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.2006.07.012

zbMATH Keywords

positive radial solutionsemilinear elliptic system

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Positive radial solutions for Dirichlet problems in the ball ⋮ \(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities ⋮ Positive radial solutions for multiparameter Dirichlet systems with mean curvature operator in Minkowski space and Lane-Emden type nonlinearities ⋮ Existence and uniqueness of positive solutions for a class of semilinear elliptic systems

Cites Work

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• Symmetry and related properties via the maximum principle
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• A priori estimates for a semilinear elliptic system without variational structure and their applications
• Existence and uniqueness of positive radial solutions for the Lane-Emden system
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)

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