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math.AP2014★ 5 cited
Extremal boundedness of a variational functional in point vortex mean field theory associated with probability measures
Takashi Suzuki, Ryo Takahashi, Xiao Zhang
We study a variational functional of Trudinger-Moser type associated with one-sided Borel probability measure. Its boundedness at the extremal parameter holds when the residual van…
math.AP2014
Critical blowup exponent to a class of semilinear elliptic equations with constraints in higher dimension - local properties
Takashi Suzuki, Ryo Takahashi
We study a class of semilinear elliptic equations with constraints in higher dimension. It is known that several mathematical structures of the problem are closed to those of the L…