On Some Results of Moser and of Bangert, II

DOI10.1515/ans-2004-0402zbMath1229.35047OpenAlexW2508135192MaRDI QIDQ4661807

Edward W. Stredulinsky, Paul H. Rabinowitz

Publication date: 30 March 2005

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2004-0402

zbMATH Keywords

variational characterizationAubry-Mather theoryrenormalized functionalminimal heteroclinic

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

The limiting behavior of the value-function for variational problems arising in continuum mechanics ⋮ A nonintersection property for extremals of variational problems with vector-valued functions ⋮ Multitransition solutions for a generalized Frenkel-Kontorova model ⋮ Layered solutions with multiple asymptotes for non autonomous Allen-Cahn equations in \({\mathbb {R}^{3}}\) ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ On a phase transition model ⋮ A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations ⋮ Ground states and critical points for Aubry-Mather theory in Statistical mechanics ⋮ Structure of approximate solutions of variational problems with extended-valued convex integrands ⋮ Heteroclinic solutions for a generalized Frenkel-Kontorova model by minimization methods of Rabinowitz and Stredulinsky

Cites Work

• Variational construction of connecting orbits
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Mixed states for an Allen‐Cahn type equation

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