2.3k citations · 4k across the 36 of their papers we have counts for
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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★ 38 cited
Estimates on elliptic equations that hold only where the gradient is large
Cyril Imbert, Luis Silvestre
We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the H{ö}lder estimates and the…
math.AP2013★ 18 cited
Uniqueness of radial solutions for the fractional Laplacian
Rupert L. Frank, Enno Lenzmann, Luis Silvestre
We prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian with for any space dimensions $…