5 papers
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_…
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…
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_…
A non-isotropic free transmission problem governed by quasi-linear operators
Harish Shrivastava
We study a free transmission problem in which solution minimizes a functional with different definitions in positive and negative phase of function. We prove some asymptotic regula…
Optimal shapes for general integral functionals
Giuseppe Buttazzo, Harish Shrivastava
We consider shape optimization problems for general integral functionals of the calculus of variations, defined on a domain that varies over all subdomains of a given bounded d…