The minimum problem for one-dimensional non-semicontinuous functionals

DOI10.1007/s00526-021-02138-8zbMath1480.49001OpenAlexW4205535531WikidataQ114018052 ScholiaQ114018052MaRDI QIDQ2065057

Sandro Zagatti

Publication date: 7 January 2022

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

Full work available at URL: https://doi.org/10.1007/s00526-021-02138-8

zbMATH Keywords

minimum problemone-dimensional non-semicontinuous functionals

Mathematics Subject Classification ID

Existence theories for free problems in one independent variable (49J05)

Related Items (3)

Existence of minimizers for non-quasiconvex functionals by strict monotonicity ⋮ Existence of minimizers for one-dimensional vectorial non-semicontinuous functionals with second order Lagrangian ⋮ On the minimum problem for non-quasiconvex vectorial functionals

Cites Work

• Unnamed Item
• On a classical problem of the calculus of variations without convexity assumptions
• Existence and uniqueness results for minimization problems with nonconvex functionals
• An introduction to \(\Gamma\)-convergence
• Minimizers of non convex scalar functionals and viscosity solutions of Hamilton-Jacobi equations
• Optimization and nonsmooth analysis
• Théorème d'existence pour des problèmes variationnels non convexes
• Diagonal non-semicontinuous variational problems
• State Constraints in Convex Control Problems of Bolza
• Direct methods in the calculus of variations

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