Existence of minimizers for one-dimensional vectorial non-semicontinuous functionals with second order Lagrangian

DOI10.3934/dcds.2021181zbMath1483.49020OpenAlexW3215418362MaRDI QIDQ2078367

Sandro Zagatti

Publication date: 28 February 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021181

zbMATH Keywords

minimizationnecessary and sufficient conditionsnon-convex variational problemnon-semicontinuous functionalsecond order Lagrangian

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Existence of minimizers for non-quasiconvex functionals by strict monotonicity

Cites Work

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• Existence and monotonicity property of minimizers of a nonconvex variational problem with a second-order Lagrangian
• Minimization of non quasiconvex functionals by integro-extremization method
• An introduction to \(\Gamma\)-convergence
• The minimum problem for one-dimensional non-semicontinuous functionals
• Minimizers of non convex scalar functionals and viscosity solutions of Hamilton-Jacobi equations
• Optimization and nonsmooth analysis
• Direct methods in the calculus of variations

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