2 papers
math.AP2025
Properties of Solutions to the Full Fractional Heat Operator Equation
Lu Haipeng, Yu Mei
In this paper, we consider the following indefinite fully fractional heat equation involving the master operator . Under certain assumptions of the indefinite nonlinearity and its…
math.AP2025
Existence, Nonexistence, and Symmetry of Positive Solutions for Fractional Laplacian Problems
Haipeng Lu, Mei Yu
This paper studies the properties of solutions to a class of elliptic and parabolic problems involving the fractional Laplacian. By applying the mountain pass theorem, we prove the…