Regularity for dual solutions and for weak cluster points of minimizing sequences of variational problems with linear growth

DOI10.1023/A:1014436106908zbMath0977.49025OpenAlexW185949462MaRDI QIDQ5947510

Publication date: 16 October 2001

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

Full work available at URL: http://mathnet.ru/eng/znsl/v259/p46

zbMATH Keywords

regularity smoothness Dirichlet boundary data minimum problem dual variational problem partial Hölder continuity

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

On the dual formulation of obstacle problems for the total variation and the area functional ⋮ On the local boundedness of generalized minimizers of variational problems with linear growth ⋮ On local generalized minimizers and local stress tensors for variational problems with linear growth ⋮ On elastic solids with limiting small strain: modelling and analysis ⋮ On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth ⋮ A note on degenerate variational problems with linear growth ⋮ On a Neumann problem for variational functionals of linear growth ⋮ Convex duality and uniqueness for BV-minimizers

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