Weak lower semicontinuous envelope of functionals defined on a space of measures

DOI10.1007/BF01761473zbMath0648.49009MaRDI QIDQ1105190

Luigi Ambrosio, Giusseppe Buttazzo

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

semicontinuityrelaxation problemintegral functional. integral representation

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Methods involving semicontinuity and convergence; relaxation (49J45) Spaces of measures, convergence of measures (28A33)

Related Items (13)

New lower semicontinuity results for nonconvex functionals defined on measures ⋮ Conjugates of integral functionals on continuous functions ⋮ Mass Optimization Problem with Convex Cost ⋮ Ill-posedness of sublinear minimization problems ⋮ Continuous essential selections and integral functionals ⋮ A non-local problem for the Fokker-Planck equation related to the Becker-Döring model ⋮ Integral representation of nonconvex functionals defined on measures ⋮ Functionals defined on measures and applications to non equi-uniformly elliptic problems ⋮ Relaxation for a class of nonconvex functionals defined on measures ⋮ On a class of modified Wasserstein distances induced by concave mobility functions defined on bounded intervals ⋮ A new class of transport distances between measures ⋮ On a class of ill-posed minimization problems in image processing ⋮ Local mappings on spaces of differentiable functions

Cites Work

• Representation of additive functionals on vector-valued normed Köthe spaces
• Closedness in the weak topology of the dual pair \(L^{1,C}\)
• Integrals which are convex functionals. II
• Integral representation and relaxation of local functionals
• Dirichlet problem for demi-coercive functionals
• State Constraints in Convex Control Problems of Bolza
• Semicontinuity problems in the calculus of variations
• Semicontinuity problems in the calculus of variations
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