Existence of positive entire solutions for weakly coupled semilinear elliptic systems

DOI10.1017/S0308210500014992zbMath0769.35019MaRDI QIDQ3991034

Yasuhiro Furusho

Publication date: 28 June 1992

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

zbMATH Keywords

solvability conditionsentire solutionssupersolution-subsolution method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (6)

Hölder continuous weak solutions of degenerate quasi-linear elliptic systems ⋮ Nonlinear elliptic systems in unbounded domains ⋮ A general method for quasilinear elliptic problems in \(R^ N\) ⋮ Ordinary differential equations in the oscillation theory of partial half-linear differential equation ⋮ Decaying solutions of elliptic systems in \(\mathbb{R}^ n\) ⋮ A supersolution-subsolution method for nonlinear biharmonic equations in $$\mathbb{R}^N $$

Cites Work

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• On positive entire solutions of a class of second order semilinear elliptic systems
• On positive \(L^{\infty}\) solutions of a class of elliptic systems
• On the Existence of Positive Decaying Entire Solutions for a Class of Sublinear Elliptic Equations
• Elliptic Partial Differential Equations of Second Order
• Boundary value problems for quasilinear second order elliptic equations
• Positive Solutions of a Class of Second Order Semilinear Elliptic Systems in Exterior Domains
• Positive solutions of elliptic systems with bounded nonlinearities

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