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 2019Show all

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math.AP2019

Construction of a solution for the two-component radial Gross-Pitaevskii system with a large coupling parameter

Jean-Baptiste Casteras, Christos Sourdis

We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions…

math.DG2019

Asymptotic Plateau problem for prescribed mean curvature hypersurfaces

Jean-Baptiste Casteras, Ilkka Holopainen, Jaime B. Ripoll

We prove the existence of solutions to the asymptotic Plateau problem for hypersurfaces of prescribed mean curvature in Cartan-Hadamard manifolds $N$ . More precisely, given a suita…

math.AP2019

On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space

Jean-Baptiste Casteras, Rainer Mandel

In this paper, we study nonlinear Helmholtz equations (NLH) $- Δ_{H^{N}} u - \frac{( N - 1 ) ^{2}}{4} u - λ^{2} u = Γ∣ u ∣^{p - 2} u$ in $H^{N}$ , $N \geq 2$ where $Δ_{H^{N}}$ d…