On Coupled Multiparameter Nonlinear Elliptic Systems

DOI10.2307/2000130zbMath0588.58014OpenAlexW4240517860MaRDI QIDQ3715912

Robert Stephen Cantrell

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000130

zbMATH Keywords

nonlinear Dirichlet boundary value problemsseveral parameter bifurcation theoryuniformly elliptic linear partial differential operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (9)

Lyapunov-type inequalities for a fractional \(p\)-Laplacian system ⋮ The structure of positive solutions for a Schrödinger system ⋮ On solutions to coupled multiparameter nonlinear Sturm-Liouville boundary value problems whose state components have a specified nodal structure ⋮ A switch in nodal structure in coupled systems of nonlinear Sturm- Liouville boundary value problems ⋮ Solutions of Multiparameter Systems of Elliptic Differential Equations ⋮ Precise asymptotic of eigenvalues of resonant quasilinear systems ⋮ Estimates for eigenvalues of quasilinear elliptic systems ⋮ On eigenfunctions with sign definite components in weakly coupled linear elliptic systems ⋮ On the Generalized Spectrum for Second-Order Elliptic Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiparameter bifurcation problems for second order ordinary differential equations
• Global several-parameter bifurcation and continuation theorems: a unified approach via complementing maps
• The generalized spectrum of second order elliptic systems
• Non-linear multiparameter eigenvalue problems for ordinary differential equations
• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• Multiparameter bifurcation problems and topological degree
• Multiple solutions of coupled Sturm-Liouville systems
• Nonlinear multiparameter Sturm-Liouville problems
• Some global results for nonlinear eigenvalue problems
• Some aspects of nonlinear eigenvalue problems
• A homogeneity condition guaranteeing bifurcation in multiparameter nonlinear eigenvalue problems
• On the Covering Dimension of the Set of Solutions of Some Nonlinear Equations
• Elliptic Partial Differential Equations of Second Order
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Nonlinear Sturm-Liouville problems

This page was built for publication: On Coupled Multiparameter Nonlinear Elliptic Systems