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math.AP2018
Characterization of Electric Fields for Perfect Conductivity Problems in 3D
Haigang Li, Fang Wang, Longjuan Xu
In composite materials, the inclusions are frequently spaced very closely. The electric field concentrated in the narrow regions between two adjacent perfectly conducting inclusion…
math.AP2017
Limit of Fractional Power Sobolev Inequalities
Sun-Yung Alice Chang, Fang Wang
We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justif…
math.AP2013★ 10 cited
Radiation field for Einstein vacuum equations with spacial dimension
Fang Wang
In this paper, the radiation field is defined for solutions to Einstein vacuum equations which are close to Minkowski space-time with spacial dimension . The regularity pr…