Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case

zbMath0945.49008MaRDI QIDQ1962585

Silvia Bertirotti, Roberto van der Putten

Publication date: 26 September 2000

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1999__102__125_0

zbMATH Keywords

integral functionalslower semicontinuityMonge-Ampère boundary problem

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

• Boundary regularity of maps with convex potentials. II
• On a partial differential equation involving the Jacobian determinant
• A relaxation theorem and its application to the equilibrium of gases
• General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
• An elementary proof of the polar factorization of vector-valued functions
• The displacement problem for elastic crystals
• Global invertibility of Sobolev functions and the interpenetration of matter
• Polar factorization and monotone rearrangement of vector‐valued functions
• The Regularity of Mappings with a Convex Potential
• Elliptic Partial Differential Equations of Second Order
• On the Dirichlet Problem for Vectorial Hamilton--Jacobi Equations
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