Nonlinear Calderón-Zygmund theory in the limiting case (Q1702103)

The authors analyze the limiting case of regularity theory for measure data problems along with the classical Calderón-Zygmund theory in the setting of nonlinear equations. The prototype model is \[ -\operatorname{div}a(Du)=\mu\quad\text{in}\quad\Omega, \] which includes the case of the \(p\)-Laplace operator. Here, \(\Omega\) is an open subset of \(\mathbb R^n\), \(n\geq 2\), and \(\mu\) is a Borel measure with locally finite mass on \(\Omega\).