Semicontinuity problems in the calculus of variations
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Publication:5896320
DOI10.1016/0362-546X(80)90052-8zbMath0537.49002OpenAlexW2041338780MaRDI QIDQ5896320
Paolo Marcellini, Carlo Sbordone
Publication date: 1980
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(80)90052-8
Convex programming (90C25) Weak and generalized continuity (54C08) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20) Hamilton-Jacobi theories (49L99)
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Cites Work
- Some properties of Gamma-limits of integral functionals
- On the necessary condition of Weierstrass in the multiple integral problem of the calculus of variations
- Lower semicontinuity and lower closure theorems without seminormality conditions
- Sublinear functions of measures and variational integrals
- On the Definition and Properties of Certain Variational Integrals
- Lower Semicontinuity of Integral Functionals
- On Lower Semicontinuity of Integral Functionals. I
- Functionals Defined on Functions of Bounded Variation in $\mathbb{R}^n $ and the Lebesgue Area
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- Unnamed Item
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- Unnamed Item
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