Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in \(\mathbb{R}^d\) for \(d=3,4\)

DOI10.1016/j.jmaa.2019.123726zbMath1435.34029OpenAlexW2992364472MaRDI QIDQ2287333

Tomasz Stachowiak, Kazuyuki Yagasaki

Publication date: 20 January 2020

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.2019.123726

zbMATH Keywords

bifurcationhomoclinic orbitelliptic systemradially symmetric solutionentire solution

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary eigenvalue problems for ordinary differential equations (34B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

Analytic and algebraic conditions for bifurcations of homoclinic orbits II: Reversible systems ⋮ Bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations

Uses Software

• AUTO
• AUTO-07P
• HomCont

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal Liouville-type theorems for noncooperative elliptic Schrödinger systems and applications
• Removable singularity of positive solutions for a critical elliptic system with isolated singularity
• Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
• Time-reversal symmetry in dynamical systems: a survey
• Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
• Nonintegrability of some Hamiltonian systems, scattering and analytic continuation
• Entire solutions of semilinear elliptic equations
• Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers
• Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents in \(\mathbb R^3\)
• Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems
• Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
• Analytic and algebraic conditions for bifurcations of homoclinic orbits II: Reversible systems
• Existence and Nonexistence of Entire Solutions for Non-Cooperative Cubic Elliptic Systems
• Homoclinic Solutions for Autonomous Dynamical Systems in Arbitrary Dimension
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
• A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS
• Liouville Type Theorems for Positive Solutions of Elliptic System in ℝ^N
• ON THE PRODUCT OF TWO ASSOCIATED LEGENDRE FUNCTIONS
• Introduction to nonlinear dispersive equations
• Elements of applied bifurcation theory

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