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math.AP2023
Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels
Xusheng Du, Tianling Jin, Hui Yang
In this paper, we study existence of solutions to a conformally invariant integral equation involving Poisson-type kernels. Such integral equation has a stronger non-local feature…
math.AP2023
Hölder regularity for the linearized porous medium equation in bounded domains
Tianling Jin, Jingang Xiong
In this paper, we systematically study weak solutions of a linear singular or degenerate parabolic equation in a mixed divergence form and nondivergence form, which arises from the…