A uniqueness theorem for the dual problem associated to a variational problem with linear growth

DOI10.1023/A:1023313701565zbMath1027.49016OpenAlexW149349618MaRDI QIDQ1405691

Michael Bildhauer

Publication date: 31 August 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023313701565

zbMATH Keywords

dual problemuniquenessminimization problemsmooth strictly convex integrands

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15)

Related Items (7)

Splitting type variational problems with linear growth conditions ⋮ On local generalized minimizers and local stress tensors for variational problems with linear growth ⋮ A note on degenerate variational problems with linear growth ⋮ Splitting-type variational problems with mixed linear-superlinear growth conditions ⋮ Continuity results for TV-minimizers ⋮ Convex duality and uniqueness for BV-minimizers ⋮ Interior gradient regularity for \(\mathrm{BV}\) minimizers of singular variational problems

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