Regularity in two-dimensional variational problems with perimeter penalties

DOI10.1016/S0764-4442(01)02033-XzbMath1003.49027MaRDI QIDQ2746849

Christopher J. Larsen

Publication date: 14 January 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularityvariational problemsoptimal designminimizing setssurface penalties

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions in optimal control (49N60) Linear-quadratic optimal control problems (49N10) Phase transformations in solids (74N99)

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3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization

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