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math.AP2026
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: $$ -Δu+(-Δ)^s u=u^q\quad\text{in }\mathbb R^…
math.AP2026
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 .…