3 citations · 3 across the 7 of their papers we have counts for
7 papers · 1 filter
A quantitative Hopf-Oleinik lemma for degenerate fully nonlinear operators and applications to free boundary problems
Davide Giovagnoli, Enzo Maria Merlino, Diego Moreira
We prove a quantitative inhomogeneous Hopf-Oleinik lemma for viscosity solutions of and, more generally, for viscosity supersolutions of $|\nabla u|^α\…
Existence and optimal regularity theory for weak solutions of free transmission problems of quasilinear type via Leray-Lions method
Diego R. Moreira, Harish Shrivastava
We study existence and regularity of weak solutions for the following PDE $$ -\dive(A(x,u)|\nabla u|^{p-2}\nabla u) = f(x,u),\;\;\mbox{in $B_1$}. $$ where $A(x,s) = A_+(x)χ_{\{s>0\…
Flipping regularity via the Harnack approach and applications to nonlinear elliptic problems
Diego R. Moreira, Edgard A. Pimentel
We prove an abstract result ensuring that one-sided geometric control yields two-sided estimates for functions satisfying general conditions. Our findings resonate in the context o…
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_…