Existence of positive radial solutions for some nonvariational superlinear elliptic systems

DOI10.1016/J.JMAA.2009.09.002zbMath1181.35078OpenAlexW1993897148MaRDI QIDQ1036162

Peter E. Zhidkov

Publication date: 5 November 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.2009.09.002

zbMATH Keywords

existencepositive solutionsuperlinear elliptic equationsystem of equationsradial nonincreasing solution

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 (1)

On radially symmetric solutions of the equation \(-\Delta u+u=| u|^{p-1}u\). An ODE approach

Cites Work

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• A priori estimates for a semilinear elliptic system without variational structure and their applications
• Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
• Existence and nonexistence of entire positive solutions of semilinear elliptic systems

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