Global Schauder estimates for the p-Laplacian and p-Stokes operator for rough domains

Geometric Aspects of Nonlinear Partial Differential Equations

29 November 14:00 - 15:00

Sebastian Schwarzacher - Uppsala University

In this talk we collect some estimates for the gradient of solutions, to the p-Laplace system with right-hand side in divergence form. Both estimates inside the domain for local solutions, and global estimates for solutions to boundary value problems are discussed, for Dirichlet boundary values. An outlook for generalizations is given. In that relation global estimates for the p-Stokes operator are presented. The talk covers joint works ion collaboration with: D. Breit, A. Cianchi, L. Diening, V. Macha and T. Kuusi.
Panagiota Daskalopoulos
Columbia University
Alessio Figalli
ETH Zürich
Erik Lindgren
Uppsala University
Henrik Shahgholian
KTH Royal Institute of Technology
Susanna Terracini,
University of Turin


Erik Lindgren

Henrik Shahgholian


For practical matters at the Institute, send an e-mail to