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math.AP2024
On elliptic equations with N-independent stable operators
Lele Du, Minbo Yang
We investigate the positive solutions of the semilinear elliptic equation \begin{align*} \sum^{N}_{i=1}\left(-\partial_{ii}\right)^{s}u=u^{p} \end{align*} with one-dimensional symm…
math.AP2018
Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
Lele Du, Minbo Yang
The aim of this paper is to classify the positive solutions of the nonlocal critical equation: …