On a Volume Constrained Variational Problem in SBV²(Ω): Part I

DOI10.1051/cocv:2002009zbMath1047.49016OpenAlexW2053407253MaRDI QIDQ4420719

José Matias, Ana Cristina Barroso

Publication date: 18 August 2003

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2002__7__223_0

zbMATH Keywords

lower semicontinuitylevel sets\(\Gamma\)-limitspecial functions of bounded variationSBV

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Free boundary problems for PDEs (35R35) Optimality conditions for free problems in two or more independent variables (49K10)

Cites Work

• On the existence of solutions to a problem in multidimensional segmentation
• An introduction to \(\Gamma\)-convergence
• Integral representation results for functionals defined on \(\text{SBV}(\Omega;\mathbb{R}^ m)\)
• On a volume-constrained variational problem
• An Optimization Problem with Volume Constraint
• Weakly Differentiable Functions
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• On a constrained variational problem with an arbitrary number of free boundaries
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