On the Existence of Integrable Solutions to Nonlinear Elliptic Systems and Variational Problems with Linear Growth

摘要: We investigate the properties of certain elliptic systems leading, a~priori, to solutions that belong space Radon measures. show if problem is equipped with a so-called asymptotic Uhlenbeck structure, then solution can in fact be understood as standard weak solution, one proviso: analogously case minimal surface equations, attainment boundary value penalized by measure supported on (a subset of) boundary, which, for class problems under consideration here, part where Neumann condition imposed.