Existence, localization and multiplicity results for positive radial solutions of semilinear elliptic systems

DOI10.1016/J.JMAA.2008.01.097zbMath1178.35162OpenAlexW1986928112MaRDI QIDQ1012163

Radu Precup

Publication date: 14 April 2009

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.2008.01.097

zbMATH Keywords

Dirichlet problemspositive solutionfixed point theoremsingular boundary value problemradial solutionsemilinear elliptic system

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Methods of ordinary differential equations applied to PDEs (35A24) Boundary value problems for second-order elliptic systems (35J57)

Related Items (20)

Multiple positive solutions of a \((p_{1},p_{2})\)-Laplacian system with nonlinear BCs ⋮ Positive radial solutions of \(p\)-Laplace equations on exterior domains ⋮ Random fixed point theorem in generalized Banach space and applications ⋮ A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions ⋮ Multiplicity solutions for integral boundary value problem of fractional differential systems ⋮ Theory and computation of radial solutions for Neumann problems with \(\phi\)-Laplacian ⋮ Non-negative solutions of systems of ODEs with coupled boundary conditions ⋮ Positive radial solutions of \(n\)-dimensional elliptic systems with indefinite weight functions and \(n\) parameters ⋮ Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains ⋮ Random fixed point theorems in partially ordered metric spaces ⋮ Two positive nontrivial solutions for a class of semilinear elliptic variational systems ⋮ Existence of positive radial solutions for the elliptic equations on an exterior domain ⋮ Positive radial solutions for elliptic equations with nonlinear gradient terms on an exterior domain ⋮ Non-Zero Radial Solutions for Elliptic Systems with Coupled Functional BCs in Exterior Domains ⋮ An application of Perov type results in gauge spaces ⋮ Periodic solutions to non-autonomous second-order systems ⋮ Positive solutions of singular multiparameter \(p\)-Laplacian elliptic systems ⋮ A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications

Cites Work

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• Positive radial solutions for quasilinear systems in an annulus
• Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Nonlinear elliptic problems in annular domains
• Non-existence of positive solutions of Lane-Emden systems
• A vector version of Krasnosel'skiĭ's fixed point theorem in cones and positive periodic solutions of nonlinear systems
• Positive splutions of semilinear elliptic systems
• Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system
• Positive radial solutions for a quasilinear system

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