<p>We proved higher integrability (the Boyarsky–Meyers estimate) of solutions to nonlinear minimizing problems (i.e. for minimizers of nonlinear functionals) in domains perforated along the boundary.</p>

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On higher integrability of minimizer to a nonlinear functional in domains perforated along the boundary

  • Gregory A. Chechkin

摘要

We proved higher integrability (the Boyarsky–Meyers estimate) of solutions to nonlinear minimizing problems (i.e. for minimizers of nonlinear functionals) in domains perforated along the boundary.