On a class of second order variational problems with constraints

DOI10.1007/BF02810675zbMath0935.49001OpenAlexW2026922876MaRDI QIDQ1806253

Morel M. Marcus, Zaslavski, Alexander J.

Publication date: 2 May 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02810675

zbMATH Keywords

optimal solutionssecond-order variational problems

Mathematics Subject Classification ID

Existence theories for free problems in one independent variable (49J05)

Related Items (5)

Generic well-posedness of variational problems without convexity assumptions ⋮ The limiting behavior of the value-function for variational problems arising in continuum mechanics ⋮ Examples of optimal solutions of infinite horizon variational problems arising in continuum mechanics ⋮ The asymptotic turnpike property and the uniqueness of a periodic minimal solution for one-dimensional variational problems ⋮ The structure and limiting behavior of locally optimal minimizers.

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Infinite horizon autonomous systems with unbounded cost
• One-dimensional infinite-horizon variational problems arising in continuum mechanics
• On the thermodynamics of periodic phases
• Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
• Periodic phases in second-order materials
• Uniform estimates for a variational problem with small parameters
• Universal properties of stable states of a free energy model with small parameters
• Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks
• The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics
• The existence and structure of extremals for a class of second order infinite horizon variational problems
• Structure of extremals for one-dimensional variational problems arising in continuum mechanics
• Lower Semicontinuity of Integral Functionals
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• A global condition for quasi-random behavior in a class of conservative systems

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