416 citations
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26 papers · 1 filter
Global boundedness of the gradient for a class of nonlinear elliptic systems
Andrea Cianchi, Vladimir Maz'ya
Gradient boundedness up to the boundary for solutions to Dirichlet and Neumann problems for elliptic systems with Uhlenbeck type structure is established. Nonlinearities of possibl…
Casimir Force between Atomically Thin Gold Films
M. Boström, C. Persson, Bo E. Sernelius
We have used density functional theory to calculate the anisotropic dielectric functions for ultrathin gold sheets (composed of 1, 3, 6, and 15 atomic layers). Such films are impor…
Extensions of the Minimum Cost Homomorphism Problem
Rustem Takhanov
Assume is a finite set and is a finite set of functions from to the natural numbers. An instance of the minimum -cost homomorphism problem () is a set of v…
Casimir attractive-repulsive transition in MEMS
M. Boström, S. Å. Ellingsen, I. Brevik +3
Unwanted stiction in micro- and nanomechanical (NEMS/MEMS) systems due to dispersion (van der Waals, or Casimir) forces is a significant hurdle in the fabrication of systems with m…
Weak Convergence of -Particle Systems Using Bilinear Forms
Jörg-Uwe Löbus
The paper is concerned with the weak convergence of -particle processes to deterministic stationary paths as . A Mosco type convergence of a class of bilinear forms…
Casimir effects in graphene systems: unexpected power laws
Bo E. Sernelius
We present calculations of the zero-temperature Casimir interaction between two freestanding graphene sheets as well as between a graphene sheet and a substrate. Results are given…