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@ARTICLE{,
            author = {Beck, Lisa and Bul{\'{\i}}{\v c}ek, Miroslav and M{\'{a}}lek, Josef and S{\"{u}}li, Endre},
             title = {On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth},
           journal = {Archive for Rational Mechanics and Analysis},
            volume = {225},
            number = {2},
              year = {2017},
             pages = {717--769},
               url = {https://arxiv.org/abs/1601.01907},
               doi = {10.1007/s00205-017-1113-4},
          abstract = {We investigate the properties of certain elliptic systems leading, a~priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a so-called
asymptotic Uhlenbeck structure, then the solution can in fact be understood  as a standard weak solution, with one proviso: analogously as in the case of minimal surface equations, the attainment of the boundary value is penalized by a measure supported on (a subset of) the boundary, which, for the class of problems under consideration here, is the part of the boundary where a Neumann boundary condition is imposed.},
  Preprint project = {MORE},
     Preprint year = {2016},
   Preprint number = {01},
       Preprint ID = {MORE/2016/01}
}