Mercoledì, 28 maggio ore 16 Sala Professori I livello DMA

Seminario di Analisi: Francesco Solombrino (Università del Salento)

” Strong existence for free-discontinuity problems with non-standard growth”

We derive an Ahlfors-type regularity result for free-discontinuity energies defined on the space SBV^ φ of special functions of bounded variation with φ-growth, where φ is a generalized Orlicz function. Our analysis encompasses a wide class of elastic energies for heterogenous materials and expands on the regularity theory for minimizers of a class of free-discontinuity problems in the non-standard growth case. This is a joint work with C.Leone, G.Scilla and A.Verde