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Homogenization of free discontinuity problems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Optimal approximations by piecewise smooth functions and associated variational problems
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Approximation of functional depending on jumps by elliptic functional via t‐convergence
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Direct Methods in the Calculus of Variations
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An Introduction to Γ-Convergence
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Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
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Minimal Surfaces and Functions of Bounded Variation
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Direct Methods in the Calculus of Variations
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Variational problems in SBV and image segmentation
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Semicontinuity problems in the calculus of variations
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Convexity conditions and existence theorems in nonlinear elasticity
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Homogenization of nonconvex integral functionals and cellular elastic materials
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Existence theory for a new class of variational problems
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Loss of polyconvexity by Homogenization
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Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
inferredcites →https://doi.org/10.1007/bf01052971openalex-snapshot
Existence theorem for a minimum problem with free discontinuity set
inferredcites →https://doi.org/10.1007/bf01187895openalex-snapshot
Relaxation inBV versus quasiconvexification inW 1,p ; a model for the interaction between fracture and damage
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Integral representation and relaxation of local functionals
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Remarks on the homogenization of connected media
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On the lower semicontinuity of quasiconvex integrals in SBV(Ω, Rk)
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On the Problem of Crack Extension in Brittle Solids Under General Loading
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Further remarks on the lower semicontinuity of polyconvex integrals
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On the existence of solutions to a problem in multidimensional segmentation
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The interaction between bulk energy and surface energy in multiple integrals
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Almost periodic methods in the theory of homogenization
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Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
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A General Chain Rule for Distributional Derivatives
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VI. The phenomena of rupture and flow in solids
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SOME BOUNDS ON THE BULK CONDUCTIVITY OF A TWO-PHASE MEDIUM: A COMPARISON BETWEEN PERIODIC AND RANDOM STRUCTURE
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A SINGULAR PERTURBATION APPROACH TO VARIATIONAL PROBLEMS IN FRACTURE MECHANICS
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HOMOGENIZATION OF PERIODIC NONLINEAR MEDIA WITH STIFF AND SOFT INCLUSIONS
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Measure Theory and Fine Properties of Functions
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A characterization of variational convergence for segmentation problems
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Modélisation de l'endommagement dans les milieux hétérogènes élastiques fragiles
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