Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems
Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems
A sharp estimate for the decreasing rearrangement of the length of the gradient of solutions to a class of nonlinear Dirichlet and Neumann elliptic boundary value problems is established under weak regularity assumptions on the domain. As a consequence, the problem of gradient bounds in norms depending on global integrability …