10 citations · 22 across the 6 of their papers we have counts for
4 papers · 1 filter
Integral geometry of Euler equations
Nikolai Nadirashvili, Serge Vlăduţ
We develop an integral geometry of stationary Euler equations defining some function on the Grassmannian of affine lines in the space. This function depends on a putative compa…
Homogeneous Solutions of Fully Nonlinear Elliptic Equations in Four Dimensions
Nikolai Nadirashvili, Serge Vladuts
We prove that there is no nontrivial homogeneous order 2 solutions of fully nonlinear uniformly elliptic equations in dimension 4.
On Axially Symmetric Solutions of Fully Nonlinear Elliptic Equations
Nikolai Nadirashvili, Serge Vladuts
We show that in dimension 3 axial-symmetric viscosity solutions of uniformly elliptic Hessian equations are in fact the classical ones.
Nonclassical Solutions of Fully Nonlinear Elliptic Equations
Nikolai Nadirashvili, Serge Vladuts
We prove the existence of non-smooth solutions to fully nonlinear uniformly elliptic equations.