Positive solutions of elliptic systems with bounded nonlinearities

DOI10.1017/S0308210500014694zbMath0681.35035MaRDI QIDQ4730160

Charles A. Swanson, Ezzat S. Noussair

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

positive solutionsexterior domainsAsymptotic decay estimatesSemilinear elliptic partial differential systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)

Related Items (6)

Existence of positive entire solutions for weakly coupled semilinear elliptic systems ⋮ Multiple finite energy states for critical potential systems ⋮ Properties of potential systems in \(\mathbb{R}{}^ N\) ⋮ A general method for quasilinear elliptic problems in \(R^ N\) ⋮ Existence of Decaying Entire Solutions of a Class of Semilinear Elliptic Equations ⋮ Decaying solutions of elliptic systems in \(\mathbb{R}^ n\)

Cites Work

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• On positive entire solutions of a class of second order semilinear elliptic systems
• Global positive solutions of semilinear elliptic problems
• On positive \(L^{\infty}\) solutions of a class of elliptic systems
• Positive solutions of quasilinear elliptic equations in exterior domains
• Positive solutions of nonlinear elliptic boundary value problems
• On the eigenvalue problem for weakly coupled elliptic systems
• Bounded entire solutions of elliptic equations
• Boundary value problems for quasilinear second order elliptic equations

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