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Abstract We consider an open connected set Ω and a smooth potential U which is positive in Ω and vanishes on ∂Ω. We study the existence of orbits of the… Click to show full abstract
Abstract We consider an open connected set Ω and a smooth potential U which is positive in Ω and vanishes on ∂Ω. We study the existence of orbits of the mechanical system u ¨ = U x ( u ) , that connect different components of ∂Ω and lie on the zero level of the energy. We allow that ∂Ω contains a finite number of critical points of U . The case of symmetric potential is also considered.
Keywords:
existence connecting;
orbits critical;
existence;
energy;
critical values;
connecting orbits
Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!