23 citations · 220 across the 53 of their papers we have counts for
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math.AP2011
Non-classical Solution to Hessian Equation from Cartan Isoparametric Cubic
Nikolai Nadirashvili, Vladimir Tkachev, Serge Vladuts
We show how to construct a non-smooth solution to Hessian fully nonlinear second-order uniformly elliptic equation using the Cartan isoparametric cubic in 5 dimensions.
math.CV2011★ 19 cited
On the exponential transform of multi-sheeted algebraic domains
Björn Gustafsson, Vladimir G. Tkachev
We introduce multi-sheeted versions of algebraic domains and quadrature domains, allowing them to be branched covering surfaces over the Riemann sphere. The two classes of domains…
math.CV2011★ 2 cited
On the exponential transform of lemniscates
Björn Gustafssom, Vladimir G. Tkachev
It is known that the exponential transform of a quadrature domain is a rational function for which the denominator has a certain separable form. In the present paper we show that t…