Lele Du

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math.AP2023

Positive solutions to the planar logarithmic Choquard equation via asymptotic approximation

Daniele Cassani, Lele Du, Zhisu Liu

In this paper we study the following nonlinear Choquard equation $- Δ u + u = (ln \frac{1}{∣ x ∣} * F (u)) f (u), in R^{2},$ where $f \in C^{1} (R)$ …

math.AP2023

Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs

Daniele Cassani, Lele Du

We establish fine bounds for best constants of the fractional subcritical Sobolev embeddings \begin{align*} W_{0}^{s,p}\left(Ω\right)\hookrightarrow L^{q}\left(Ω\right), \end{align…