Global solution curves for a class of elliptic systems

DOI10.1080/00036811003649140zbMath1190.35076OpenAlexW2088932967WikidataQ58246946 ScholiaQ58246946MaRDI QIDQ3569222

Philip Korman

Publication date: 18 June 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811003649140

zbMATH Keywords

elliptic systemsglobal solution curvesuniqueness and non-degeneracy of solutions

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Uniqueness of positive solutions to some coupled cooperative variational elliptic systems

Cites Work

• Symmetry and related properties via the maximum principle
• Symmetry properties in systems of semilinear elliptic equations
• An introduction to partial differential equations
• Existence and uniqueness of positive solutions of semilinear elliptic systems
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• Positive splutions of semilinear elliptic systems
• Global solution curves for semilinear systems
• An Exact Multiplicity Result for a class of Semilinear Equations
• Curves of Positive Solutions for Supercritical Problems
• Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems