Lele Du

activity

20182024

most citedUniqueness and nondegeneracy of solutions for a critical nonlocal equation

1 citations · 1 across the 6 of their papers we have counts for

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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…