Bounds for some minimizing sequences of functionals

DOI10.1515/ACV.2010.018zbMath1206.49040MaRDI QIDQ3074548

Pier Vincenzo Petricca, Francesco Leonetti

Publication date: 9 February 2011

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

zbMATH Keywords

minimizing sequencesboundscalculus of variationsfunctionals

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Regularity of solutions in optimal control (49N60)

Related Items (7)

Local boundedness of vectorial minimizers of non-convex functionals ⋮ Regularity for minimizing sequences of some variational integrals ⋮ Polyconvex functionals and maximum principle ⋮ A boundedness result for minimizers of some polyconvex integrals ⋮ Local boundedness for minimizers of some polyconvex integrals ⋮ Estimates for minimizers of some relaxed polyconvex functionals ⋮ Finding nicer mappings with lower or equal energy in nonlinear elasticity

Cites Work

• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• On the variational principle
• A direct proof for lower semicontinuity of polyconvex functionals
• Nonconvex minimization problems
• Semicontinuity problems in the calculus of variations

This page was built for publication: Bounds for some minimizing sequences of functionals