47 citations · 138 across the 25 of their papers we have counts for
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math.AP2013★ 19 cited
Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems
Alexandre Montaru, Boyan Sirakov, Philippe Souplet
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the…
math.AP2013★ 2 cited
Overdetermined problems for fully nonlinear elliptic equations
Luis Silvestre, Boyan Sirakov
We prove that the existence of a solution to a fully nonlinear elliptic equation in a bounded domain with an overdetermined boundary condition prescribing both Dirichlet and Ne…
math.AP2013
Boundary regularity for viscosity solutions of fully nonlinear elliptic equations
Luis Silvestre, Boyan Sirakov
We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains. We…