Bauer's maximum principle and hulls of sets

DOI10.1007/S005260000047zbMath0981.49010OpenAlexW2138700063MaRDI QIDQ1592846

Martin Kružík

Publication date: 2 April 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260000047

zbMATH Keywords

quasiconvexityextreme pointspolyconvexityrank-one convexityhulls

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

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Kernel Absolute Summability Is Sufficient but Not Necessary for RKHS Stability ⋮ Optimization of Quasi-convex Function over Product Measure Sets ⋮ Choquet's theory and the Dirichlet problem. ⋮ On the lower semicontinuous quasiconvex envelope for unbounded integrands (I) ⋮ New convexity conditions in the calculus of variations and compensated compactness theory ⋮ Extremal rank-one convex integrands and a conjecture of Šverák

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