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20222026
most citedDeterministic KPZ-type equations with nonlocal "gradient terms"

2 citations · 2 across the 4 of their papers we have counts for

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math.AP2022

Non-uniqueness for the nonlocal Liouville equation in and applications

Luca Battaglia, Matteo Cozzi, Antonio J. Fernández +1

We construct multiple solutions to the nonlocal Liouville equation \begin{equation} \label{eqk} \tag{L} (-Δ)^{\frac{1}{2}} u = K(x) e^u \quad \mbox{ in } \mathbb{R}. \end{equation}…

math.AP2022★ 2 cited

Deterministic KPZ-type equations with nonlocal "gradient terms"

Boumediene Abdellaoui, Antonio J. Fernández, Tommaso Leonori +1

The main goal of this paper is to prove existence and non-existence results for deterministic Kardar-Parisi-Zhang type equations involving non-local "gradient terms". More precisel…