Minimization of non-coercive integrals by means of convex rearrangement

DOI10.1515/acv.2011.013zbMath1237.49003OpenAlexW2330043013MaRDI QIDQ2882722

Antonio Greco

Publication date: 7 May 2012

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv.2011.013

zbMATH Keywords

direct methodmonotone rearrangementnon-coercive integral

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for free problems in one independent variable (49J05)

Related Items (3)

Weak and strong solutions to the inverse-square brachistochrone problem on circular and annular domains ⋮ Minimizers for nonconvex variational problems in the plane via convex/concave rearrangements ⋮ Non-coercive radially symmetric variational problems: existence, symmetry and convexity of minimizers

Cites Work

• On Newton's problem of minimal resistance
• Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions
• Minimum Problems over Sets of Concave Functions and Related Questions

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