A degenerate fully nonlinear free transmission problem with variable exponents
 
 
Description:  In this talk we will discuss optimal regularity for equations with a degeneracy rate which varies in a discontinuous fashion over the domain. Moreover, this discontinuity depends in an implicit way on the solution itself. We introduce the notion of pointwise sharp regularity which requires an alternative characterization of Holder spaces. These ideas are combined with a geometric tangential analysis argument to obtain the optimal regularity.
Date:  2021-12-17
Start Time:   14:30
Speaker:  David Jesus (PhD student, CMUC)
Institution:  CMUC
Place:  Sala 5.5
Research Groups: -Analysis
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