Sharp gradient estimates for a class of elliptic equations

Friday, November 12, 2010 -
3:00pm to 5:00pm
I will present some results related with existence and sharp regularity for solutions to a class of singular elliptic equations with gradient dependence for which solutions may exhibit a free boundary. Once we have obtained sharp regularity, further analysis of the free boundary may be carried out with nondegeneracy and refined gradient estimates. I will also show how to employ an asymptotic analysis obtaining some known results for the obstacle and cavity problems. Work done in collaboration with M. Montenegro and E. Teixeira.
Olivaine De Queiroz
Universidade Estadual De Campinas
Event Location: 
Fine Hall 314