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Some remarks on the identity between a variational integral and its relaxed functional

https://doi.org/10.1007/bf02825214
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-8165-5openalex-snapshot
Optimization—Theory and Applications
inferredcites →https://doi.org/10.1007/978-3-540-69952-1openalex-snapshot
Multiple Integrals in the Calculus of Variations
inferredcites →https://doi.org/10.1007/bf00276295openalex-snapshot
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
inferredcites →https://doi.org/10.1007/bf02409983openalex-snapshot
Sur quelques problèmes du calcul des variations
inferredcites →https://doi.org/10.1007/bf02411687openalex-snapshot
Some properties of Γ-limits of integral functionals
inferredcites →https://doi.org/10.1007/bf02844099openalex-snapshot
A note on approximation of optimal solutions of free problems of the calculus of variations
inferredcites →https://doi.org/10.1016/0022-1236(84)90041-7openalex-snapshot
W1,p-quasiconvexity and variational problems for multiple integrals
inferredcites →https://doi.org/10.1016/c2009-0-19672-1openalex-snapshot
Convex Analysis and Variational Problems
inferredcites →https://doi.org/10.1016/s0294-1449(16)30379-1openalex-snapshot
On the definition and the lower semicontinuity of certain quasiconvex integrals
inferredcites →https://doi.org/10.1070/im1987v029n01abeh000958openalex-snapshot
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
inferredcites →https://doi.org/10.1090/s0002-9947-1961-0138018-9openalex-snapshot
On the Definition and Properties of Certain Variational Integrals
inferredcites →https://doi.org/10.1137/0315035openalex-snapshot
On Lower Semicontinuity of Integral Functionals. I
inferredcites →https://doi.org/10.1137/0315064openalex-snapshot
On Lower Semicontinuity of Integral Functionals. II
inferredcites →https://doi.org/10.1137/1.9781611971088openalex-snapshot
Convex Analysis and Variational Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Survey on Old and Recent Results about the Gap Phenomenon in the Calculus of Variations
inferred← citeshttps://doi.org/10.1007/bf01759320openalex-snapshot
Comparison results for some types of relaxation of variational integral functionals
inferred← citeshttps://doi.org/10.1007/s00526-003-0259-0openalex-snapshot
On the relaxation and the Lavrentieff phenomenon for variational integrals with pointwise measurable gradient constraints
inferred← citeshttps://doi.org/10.1016/0022-1236(92)90038-kopenalex-snapshot
Interpretation of the Lavrentiev phenomenon by relaxation
inferred← citeshttps://doi.org/10.1016/0362-546x(94)90165-1openalex-snapshot
Relaxation of degenerate variational integrals
inferred← citeshttps://doi.org/10.1016/0362-546x(94)90207-0openalex-snapshot
Local boundedness of minimizers of certain degenerate functionals of the calculus of variations
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104414openalex-snapshot
Integral representations of lower semicontinuous envelopes and Lavrentiev phenomenon for non continuous Lagrangians
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30201-3openalex-snapshot
On the singular support of the distributional determinant
inferred← citeshttps://doi.org/10.1017/s0308210500028055openalex-snapshot
The Lavrentieff phenomenon for quadratic functionals
inferred← citeshttps://doi.org/10.1080/03605309208820894openalex-snapshot
The Lavrentieff phenomenon And Different processes of Homogenization
inferred← citeshttps://doi.org/10.1137/21m1395557openalex-snapshot
Path-Dependent Hamilton--Jacobi Equations with Super-Quadratic Growth in the Gradient and the Vanishing Viscosity Method
inferred← citeshttps://doi.org/10.1515/acv-2021-0109openalex-snapshot
No Lavrentiev gap for some double phase integrals
inferred← citeshttps://doi.org/10.2422/2036-2145.2005.3.06openalex-snapshot
Continuity of solutions to a basic problem in the calculus of variations
inferred← citeshttps://doi.org/10.3934/dcds.2026060openalex-snapshot
Relaxation of non-convex integral functionals in the multidimensional scalar case
inferred← citeshttps://doi.org/10.68381/jca01010openalex-snapshot
Some Remarks About the Density of Smooth Functions in Weighted Sobolev Spaces
inferred← citeshttps://doi.org/10.68381/jca02006openalex-snapshot
On a Gap Phenomenon for Isoperimetrically Constrained Variational Problems
inferred← citeshttps://doi.org/10.68381/jca07014openalex-snapshot
On the Lavrentieff Phenomenon for some Classes of Dirichlet Minimum Problems
inferred← citeshttps://doi.org/10.68381/jca08027openalex-snapshot
Lavrentieff Phenomenon and Non Standard Growth Conditions
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