CPAA
The obstacle problem for Monge-Ampère type equations in non-convex domains
Jingang Xiong Jiguang Bao
In this paper, we consider the obstacle problem for Monge-Ampère type equations which include prescribed Gauss curvature equation as a special case. We establish $C^{1,1}$ regularity of the greatest viscosity solution in non-convex domains.
keywords: non-convex domain. Monge-Ampère equation Obstacle problem
DCDS
A Harnack inequality for fractional Laplace equations with lower order terms
Jinggang Tan Jingang Xiong
We establish a Harnack inequality of fractional Laplace equations without imposing sign condition on the coefficient of zero order term via the Moser's iteration and John-Nirenberg inequality.
keywords: Harnack inequality Moser's iteration. Fractional Laplace equations
DCDS
Schauder estimates for solutions of linear parabolic integro-differential equations
Tianling Jin Jingang Xiong
We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal Hölder estimates in space-time for those spatial derivatives are also obtained.
keywords: Schauder estimates. Integro-differential equations

Year of publication

Related Authors

Related Keywords

[Back to Top]