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Publication:3732431
zbMath0598.49013MaRDI QIDQ3732431
Frank H. Clarke, Richard B. Vinter
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Absolutely continuous real functions in one variable (26A46) Optimality conditions for free problems in one independent variable (49K05)
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Examples of classically unsolvable scalar regular variational problems satisfying standard growth conditions ⋮ Singular minimisers in the calculus of variations in one dimension ⋮ Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems ⋮ Lebesgue measure of the universal singular set for the simplest problems in the calculus of variations ⋮ Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations ⋮ Coercive polynomials: stability, order of growth, and Newton polytopes ⋮ Another theorem of classical solvability `in small' for one-dimensional variational problems ⋮ A Regularity Theory for Variational Problems with Higher Order Derivatives ⋮ Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems ⋮ Universal singular sets for one-dimensional variational problems ⋮ One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
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