Mathias Schäffner

Non-uniformly elliptic variational problems on BV

Abstract We establish $$\operatorname {W}^{1,1}$$ W 1 , 1 -regularity and higher gradient integrability for relaxed minimizers of convex integral functionals on $$\operatorname {BV}$$ BV . Unlike classical examples such as the minimal surface integrand, we only require linear gro...