Browsing by Author "Zheng, S."
Now showing items 1-5 of 5
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Lorentz estimates for asymptotically regular fully nonlinear parabolic equations
Zhang, J.; Zheng, S. (2017-06-20)We prove a global Lorentz estimate of the Hessian of strong solutions to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations with asymptotically regular nonlinearity over a bounded $C^{1,1}$ ... -
Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients
Zheng, S.; Tian, H. (2017)We prove global Lorentz estimates for variable power of the gradient of weak solution to linear elliptic obstacle problems with small partially BMO coefficients over a bounded nonsmooth domain. Here, we assume that the ... -
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications
Yang Z-H.; Zheng, S. (2017-07-18)Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ... -
Sharp bounds for the ratio of modified Bessel functions
Zheng, S.; Yang Z-H. (2017-06-21)Let $I_{\nu }\left( x\right) $ be the modified Bessel functions of the first kind of order $\nu $, and $S_{p,\nu }\left( x\right) =W_{\nu }\left( x\right) ^{2}-2pW_{\nu }\left( x\right) -x^{2}$ with $W_{\nu }\left( x\right) ... -
Variable Lorentz estimate for nonlinear elliptic equations with partially regular nonlinearities
Liang, S.; Zheng, S. (2018-02-15)We prove global Calder\'on-Zygmund type estimate in Lorentz spaces for variable power of the gradients to weak solution of nonlinear elliptic equations in a non-smooth domain. We mainly assume that the nonlinearities are ...