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Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
Functional inequalities thick tails asymptotics
2010/11/26
We investigate the long time behavior of the critical mass Patlak-Keller-Segel equation. This equation has a one parameter family of steady-state solutions ̺, λ > 0, with thick tails whose secon...
Functional inequalities for modified Bessel functions
Functional inequalities Modified Bessel functions Convexity with respect to H¨older means
2010/12/13
In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of th...