1,720,982 research outputs found
Scaled Korn-Poincare inequality in BD and a model of elastic plastic cantilever
No full textThe optimal asymptotic behaviour of the Korn-Poincare inequality constant due to anysotropic shrinking of the open set is proved together with a description of an elastic-perfectly plastic cantilever as a variational limit of an elastic micro-fractured 2D-body
From SBD to SBH: the elastic-plastic plate
No full textA description of a flat elastic perfectly plastic plate is obtained as a variational limit of a thin elastic 3D body with damage at small scale. A model of a rigid plastic slab is described in a similar way
A second order model in image segmentation Blake & Zisserman functional
No full textR.Serapioni, F.Tomarelli (Eds.
Euler equations for Blake & Zisserman functional
No full textWe derive many necessary conditions for minimizers of a functional depending on free discontinuities, free gradient discontinuities and second derivatives, which is related to image segmentation. The results are obtained by using different kind of variations in the interior of the domain, near either a crack or a crease, near either a crack or crease tip
A Dirichlet problem with free gradient discontinuity
No full textWe prove the existence of a strong solution for Blake & Zisserman functional under Dirichlet boundary condition. The result is obtained by showing partial regularity of weak solutions up to the boundary through blow-up technique and a decay property for bi-harmonic functions in half-disk
Second Order Variational Problems with Free Discontinuity and Free Gradient Discontinuity
No full textIn this contribution we unify general properties of functionals
depending on first and second derivatives together with free
discontinuities and free gradient discontinuities. Our framework has an interest in itself, nevertheless we emphasize that the scheme includes many relevant applications to image processing and continuum mechanics
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