Jean-Baptiste Casteras

activity

20122025

most citedNormalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

81 citations · 160 across the 37 of their papers we have counts for

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Showing 2018 · math.APShow all

3 papers · 2 filters

math.AP2018

Singular radial solutions for the Keller-Segel equation in high dimension

Denis Bonheure, Jean-Baptiste Casteras, Juraj Foldes

We study singular radially symmetric solution of the stationary Keller-Segel equation, that is, an elliptic equation with exponential nonlinearity, which is super-critical in dimen…

math.AP2018★ 17 cited

On a fourth order nonlinear Helmholtz equation

Denis Bonheure, Jean-Baptiste Casteras, Rainer Mandel

In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $Δ^{2} u - β Δ u + α u = Γ∣ u ∣^{p - 2} u$ in $R^{N}$ for positive, bounded and $Z^{N}$ -peri…

math.AP2018★ 81 cited

Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

Denis Bonheure, Jean-Baptiste Casteras, Tianxiang Gou +1

In this paper, we study the existence of solutions to the mixed dispersion nonlinear Schrödinger equation $γ Δ^{2} u - Δ u + α u = ∣ u ∣^{2 σ} u, u \in H^{2} (R^{N}),$ under the constr…