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One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation

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What points at this work

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Variational field theory from the point of view of direct methods
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Direct Methods in Variational Field Theory
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Regularity theory for one-dimensional variational problems with singular ellipticity
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A New Example of the Lavrentiev Phenomenon
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Regularity Properties of Optimal Controls
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Wellposedness and the Lavrentiev Phenomenon
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Nonoccurrence of the Lavrentiev Phenomenon for Many Optimal Control Problems
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The Euler Equation in the Multiple Integrals Calculus of Variations
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Regularity of the Hamiltonian Along Optimal Trajectories
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Weak Lower Semicontinuity of Integral Functionals and Applications
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The Repulsion Property in Nonlinear Elasticity and a Numerical Scheme to Circumvent It
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The Approximation of Higher-Order Integrals of the Calculus of Variations and the Lavrentiev Phenomenon
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On the Lavrentiev Phenomenon for Optimal Control Problems with Second-Order Dynamics
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Variational Problems with Nonconvex, Noncoercive, Highly Discontinuous Integrands: Characterization and Existence of Minimizers
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Calculus of Variations, Homogenization and Continuum Mechanics
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BACK MATTER
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Introduction to the Calculus of Variations
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A TRUNCATION METHOD FOR DETECTING SINGULAR MINIMIZERS INVOLVING THE LAVRENTIEV PHENOMENON
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NUMERICAL SOLUTION OF NONLINEAR ELASTICITY PROBLEMS WITH LAVRENTIEV PHENOMENON
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Rate-independent elastoplasticity at finite strains and its numerical approximation
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Synthesis, Presynthesis, Sufficient Conditions for Optimality and Subanalytic Sets
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Recent Progress on the Lavrentiev Phenomenon with Applications
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Avoidance of the Lavrentiev gap for one-dimensional non-autonomous functionals with constraints
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Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth
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Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians
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Dynamic programming and optimal control problems on manifolds
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Analysis of a Class of Penalty Methods for Computing Singular Minimizers
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Variational analysis of multiscale problems with differential constraints
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On the Question of Nonlinear Fluctuations of Heavy Ropes
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On the validity of the Euler-Lagrange system
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Action functionals that attain regular minima in presence of energy gaps
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A direct proof of the Tonelli's partial regularity result
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YOUNG MEASURES, CARTESIAN MAPS, AND POLYCONVEXITY
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Local Minimality of a Lipschitz Extremal
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On a new necessary condition in the Calculus of Variations for Lagrangians that are highly discontinuous in the state and velocity
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Existence of Diffusion Orbits in a priori Unstable Hamiltonian Systems
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Lecture notes on Mather's theory for Lagrangian systems
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Weak KAM theorem for Hamilton-Jacobi equations
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Fre'chet Generalized Trajectories and Minimizers for Variational Problems of Low Coercivity
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Variations, Approximation, and Low Regularity in One Dimension
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Autonomous Integral Functionals with Discontinuous Nonconvex Integrands: Lipschitz Regularity of Minimizers, DuBois-Reymond Necessary Conditions, and Hamilton-Jacobi Equations
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Generalized splines in R^n and optimal control
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FIGURES 1–5 in Species of the subgenus Acutipula Alexander from Henan, east-central China (Diptera, Tipulidae)
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Variational methods in materials science
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Variational construction of connecting orbits
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Connecting orbits of time dependent Lagrangian systems
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Some Regularity Properties on Bolza problems in the Calculus of Variations
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Gap Phenomenon for Some Autonomous Functionals
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On a Gap Phenomenon for Isoperimetrically Constrained Variational Problems
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BMO Regularity for One-Dimensional Minimizers of Some Lagrange Problems
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On the Lavrentieff Phenomenon for some Classes of Dirichlet Minimum Problems
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Wellposedness in the Calculus of Variations
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Lavrentieff Phenomenon and Non Standard Growth Conditions
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Examples of the Lavrentiev Phenomenon with Continuous Sobolev Exponent Dependence
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Mathematical and numerical analysis of the wrinkling of graphene
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