150 citations
- University of Maryland, College ParkUS7 papers
- Kent State UniversityUS3 papers
- University of California San DiegoUS3 papers
- Columbia UniversityUS2 papers
- Los Alamos National LaboratoryUS2 papers
- Russian Academy of Natural SciencesRU2 papers
- Russian Academy of SciencesRU2 papers
- Russian Engineering AcademyRU2 papers
- University of MinnesotaUS2 papers
- University of Tennessee at KnoxvilleUS2 papers
- Applied Physical Sciences (United States)US1 paper
- Argonne National LaboratoryUS1 paper
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math.AP2015★ 1 cited
Local gradient estimates for degenerate elliptic equations
Luan Hoang, Truyen Nguyen, Tuoc Phan
This paper is focused on the local interior -regularity for weak solutions of degenerate elliptic equations of the form $\text{div}[\mathbf{a}(x,u, \nabla u)] +b(x, u…
math.AP2013
Effective models for nematic liquid crystals composites with ferromagnetic inclusions
M. Carme Calderer, Antonio DeSimone, Dmitry Golovaty +1
Molecules of a nematic liquid crystal respond to an applied magnetic field by reorienting themselves in the direction of the field. Since the dielectric anisotropy of a nematic is…
math.AP2012★ 10 cited
Geometric properties of boundary sections of solutions to the Monge--Ampère equation and applications
Nam Q. Le, Truyen Nguyen
In this paper, we establish several geometric properties of boundary sections of convex solutions to the Monge-Ampère equations: the engulfing and separating properties and volume…