2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.AP2012★ 2 cited
On the first eigenpair of singularly perturbed operators with oscillating coefficients
Andrey Piatnitski, Volodymyr Rybalko
The paper deals with a Dirichlet spectral problem for a singularly perturbed second order elliptic operator with rapidly oscillating locally periodic coefficients. We study the lim…
math.AP2010
Homogenization of boundary value problems for monotone operators in perforated domains with rapidly oscillating boundary conditions of Fourier type
Andrey Piatnitski, Volodymyr Rybalko
The paper deals with homogenization problem for nonlinear elliptic and parabolic equations in a periodically perforated domain, a nonlinear Fourier boundary conditions being impose…