Wednesday, February 23, 2022 - 09:45 in H7 + Zoom
Second-order regularity estimates in nonlinear elliptic problems
A talk in the Nonlocal Equations: Analysis and Numerics series by
Andrea Cianchi from Florence
| Abstract: |
Second-order regularity results are established for solutions to elliptic equations and systems with principal part having Uhlenbeck structure and square integrable right-hand sides. Both local and global estimates are obtained. The latter apply to solutions to homogenous Dirichlet problems under minimal regularity assumptions on the boundary of the domain. In particular, if the domain is convex, no regularity of its boundary is needed. A key step in the approach is a sharp pointwise inequality for the involved elliptic operator. This talk is based on joint researches with A. Balci, L. Diening and V. Maz’ya.
Within the CRC this talk is associated to the project(s): A7 |
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