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math.AP2022
Tangential contact of free boundaries and the fixed boundary for variational solutions to a free transmission Problem
Diego Moreira, Harish Shrivastava
In this article we study functionals of the following type here $A(x,u)= A_+(x)χ_{\{u>0\}}+A_-(x) χ_…
math.AP2022
Tangential contact between free and fixed boundaries for variational solutions to variable coefficient Bernoulli type Free boundary problems
Diego Moreira, Harish Shrivastava
In this paper, we show that given appropriate boundary data, the free boundary and the fixed boundary of minimizers of functionals of type \eqref{functional} contact each other in…
math.AP2022
Optimal Regularity in Transmission Problems]{Optimal regularity for variational solutions of free transmission problems
Diego Moreira, Harish Shrivastava
In this article we study functionals of the type considered in \cite{HS21}, i.e. here $A(x,u)= A_+(x)χ_{\{u>0\}}+A_…