Elliptic equations with degenerate weights.
A talk in the Keine Reihe series by
Anna Balci
| Abstract: | In recent years Calderon-Zygmund type regularity estimates were established for solutions of different classes of linear weighed degenerate elliptic problems with matrix coefficients. For non-linear setting the results known till now do not allow degenerate weights. We establish new kind of condition on the weight: Instead of a BMO-smallness
condition for the weight itself, we use a BMO smallness condition on its logarithm , which is new even for the linear case. We study also the situation~"beyond the regularity" where Lavrentiev gap can appear.
This talk takes place within the retreat of the CRC 1283. All members of the CRC are invited to attend. Please contact ckoehler@math.uni-bielefeld.de for Zoom-Link, Meeting-ID and Password. |