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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.AP2024
Liouville results for semilinear integral equations with conical diffusion
Isabeau Birindelli, Lele Du, Giulio Galise
Nonexistence results for positive supersolutions of the equation are obtained, being any symmetric and stable linear operator, positi…