On the existence of heteroclinic connections

DOI10.1007/s40863-017-0080-xzbMath1400.37073OpenAlexW2768749097WikidataQ108074996 ScholiaQ108074996MaRDI QIDQ723337

Giorgio Fusco, Matteo Novaga, Giovanni Federico Gronchi

Publication date: 31 July 2018

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-017-0080-x

zbMATH Keywords

heteroclinic orbitminimizationaction functionalJacobi functional

Mathematics Subject Classification ID

Related Items (3)

Metric methods for heteroclinic connections in infinite dimensional spaces ⋮ On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in $\mathbb {R}^4$ ⋮ Connecting orbits in Hilbert spaces and applications to P.D.E

Cites Work

• On the heteroclinic connection problem for multi-well gradient systems
• The heteroclinic connection problem for general double-well potentials
• Vector-valued local minimizers of nonconvex variational problems
• Approximation of free-discontinuity problems
• Homoclinic and heteroclinic orbits for a class of Hamiltonian systems
• On the existence of connecting orbits for critical values of the energy
• On minimizers of the Hamiltonian system $u\'\'=\\nabla W(u)$ and on the existence of heteroclinic, homoclinic and periodic orbits
• Symmetric quadruple phase transitions
• On the connection problem for potentials with several global minima
• Asymmetric heteroclinic double layers
• A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential
• Metric methods for heteroclinic connections

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