4 papers
Combined effect of homogenization and dimension-reduction in the random Neumann sieve problem
Mert BaÅtuÄ
We investigate the asymptotic behavior of the solutions to the Neumann sieve problem for the Poisson equation in a thin, randomly perforated domain. The perforations (sieve-holes)…
Rigidity of codimension-1 isometric immersions in complete manifolds
Mert BaÅtuÄ
We establish an asymptotic rigidity result for isometric immersions of codimension-1. Specifically, we consider a sequence of immersions from a compact -dimensional manifold int…
Asymptotic rigidity of codimension-1 isometric immersions via quantitative estimates
Mert BaÅtuÄ
We offer an alternative approach to the asymptotic rigidity of codimension-1 isometric immersions via quantitative rigidity estimates. We show that an immersion between compact man…
Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations
Mert BaÅtuÄ
We study the limit behavior of the solutions to the Neumann sieve problem for the Poisson equation when the sieve-holes are randomly distributed according to a stationary marked po…