5 papers
Liouville Theorems for the Lane-Emden Equation Involving a Mixed Local-Nonlocal Operator
Yahong Guo, Congming Li, Jiongduo Xie
In this paper, we investigate the existence of positive supersolutions for the following mixed local-nonlocal Lane-Emden type equation: $$ -Îu+(-Î)^s u=u^q\quad\text{in }\mathbb…
Classification of solutions to a weighted singular fractional problem in the half space
Yahong Guo, Chilin Zhang
We focus on the classification of positive solutions to in the half space with , subject to the Dirichlet condition. We show that when $-2s<α…
Boundary regularity theory of the singular Lane-Emden-Fowler equation in a Lipschitz domain
Yahong Guo, Congming Li, Chilin Zhang
We study the singular Lane-Emden-Fowler equation \begin{equation} -Îu=f(X)\cdot u^{-γ} \end{equation} in a bounded Lipschitz domain , with the Dirichlet boundary condition an…
Pointwise regularity of solutions for fully fractional parabolic equations
Yahong Guo, Qizhen Shen, Jiongduo Xie
This paper investigates the higher pointwise regularity of nonnegative classical solutions for fully fractional parabolic equations where .…
Boundary regularity and a priori estimates for fractional equations on unbounded domains
Yahong Guo, Congming Li, Yugao Ouyang
In this paper, we study the boundary Hölder regularity for solutions to the fractional Dirichlet problem in unbounded domains with boundary \begin{equation*} \begin{cases} (-Î)^s…