Chenjie Fan

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In this paper we show the existence of radial positive stationary solutions to the energy critical nonlinear Schrödinger equation on H 3 by reducing the problem to an ODE. We also make an observation that Kenig-Merle's variational argument in [2] can work even without the existence of a positive stationary solution, based on this, we sketch a possible(More)
This note records an attempt to prove the bilinear Strichartz estimate on hyperbolic space. The main difficulty is the lack of a con-volution formula for the Fourier transform of a product of functions. We attempt to develop physical-space methods on Euclidean space to prove the Strichartz estimate, with the hope that such methods can also be effective on(More)
Based on a survey of peasants who lived in rural community in Wuhan City Hubei Province in China, this paper examines the peasants’ desire for social insurance in rural areas using the multinomial logistic model. The study finds that the peasants’ desire for social insurance in rural areas is remarkably affected by individual and family(More)
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