Pointwise estimates for energy solutions

by · Sep 22, 2014 · 1 152 views ·

Sebastian Schwarzacher, Mathematical Institute LMU, Germany Joint work with D. Breit, L. Diening, and A. Cianchi We will discuss systems of p-Laplace type with right hand side in divergence form – so called energy solutions. By the methods of the nonlinear Calderon Zygmund theory it is possible to estimate oscillations of the gradient pointwisely by the right hand side. This pointwise estimate implies many norm estimates; e.g in Lebesgue, Lorenz, Orlicz or Campanato spaces. 40

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