We show that minimizers of free discontinuity problems with energy dependent on jump integrals and Dirichlet boundary conditions are smooth provided a smallness condition is imposed on data. We examine in detail two examples: the elastic-plastic beam and the elastic-plastic plate with free yield lines. In both examples there is a gap between the condition for solvability (safe load condition) and this smallness condition (load regularity condition) which imply regularity and uniqueness of minimizers. Such gap allows the existence of damaged/creased minimizers. Eventually we produce explicit examples of irregular solutions when the load is in the gap.
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Titolo: | Smooth and broken minimizers of some free discontinuity problems | |
Autori: | ||
Data di pubblicazione: | 2017 | |
Handle: | http://hdl.handle.net/11567/886987 | |
ISBN: | 9783319644882 | |
Appare nelle tipologie: | 02.01 - Contributo in volume (Capitolo o saggio) |