Existence theorems concerning simple integrals of the calculus of variations for discontinuous solutions

DOI10.1007/BF00276912zbMath0618.49004OpenAlexW4241365089MaRDI QIDQ1822345

Lamberto Cesari, Primo Brandi, Anna Salvadori

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276912

zbMATH Keywords

lower semi-continuityoptimal trajectorydirect methods of the calculus of variationsexistence of discontinuous solutionslower closure theorem

Mathematics Subject Classification ID

Controllability (93B05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Manifolds and measure-geometric topics (49Q99)

Related Items

Existence and characterization of bv-curves for problems of calculus of variations, Unnamed Item, Existence of BV absolute discontinuous minima for modified multiple integrals of the calculus of variations, Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions, On the lower semicontinuity of certain integrals of the calculus of variations, Existence theorems for discontinuous solutions in optimization problems, Seminormality conditions in the calculus of variations for \(BV\) solutions, Serrin integrals and second order problems of plasticity, One-dimensional non-coercive problems of the calculus of variations

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