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@ARTICLE{,
            author = {Bul{\'{\i}}{\v c}ek, Miroslav and Schwarzacher, Sebastian},
             title = {Existence of very weak solutions to elliptic systems of p-Laplacian type},
           journal = {Calc. Var. Partial Differential Equations},
            volume = {55},
            number = {3},
              year = {2016},
             pages = {55:52},
               doi = {10.1007/s00526-016-0986-7},
          abstract = {We study vector valued solutions to non-linear elliptic partial differential equations with $p$-growth. Existence of a solution is shown in case the right hand side is the divergence of a function which is only $q$ integrable, where $q$ is strictly below but close to the duality exponent $p'$. It implies that possibly degenerate operators of $p$-Laplacian type are well posed in a larger class then the natural space of existence. The key novelty here is a refined a priori estimate, that recovers a duality relation between the right hand side and the solution in terms of weighted Lebesgue spaces.},
  Preprint project = {MORE},
     Preprint year = {2016},
   Preprint number = {06},
       Preprint ID = {MORE/2016/06}
}