81 citations · 160 across the 37 of their papers we have counts for
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On the asymptotic Dirichlet problem for a class of mean curvature type partial differential equations
Leonardo Prange Bonorino, Jean-Baptiste Casteras, Patricia Kruse Klaser +2
We study the Dirichlet problem for the following prescribed mean curvature PDE $$ \begin{cases} -\operatorname{div}\dfrac{\nabla v}{\sqrt{1+|\nabla v|^{2}}}=f(x,v) \text{ in }Ω\\ v…
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…
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 in for positive, bounded and -peri…
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 under the constr…
Asymptotic Dirichlet problems in warped products
Jean-Baptiste Casteras, Esko Heinonen, Ilkka Holopainen +1
We study the asymptotic Dirichlet problem for Killing graphs with prescribed mean curvature in warped product manifolds . In the first part of the p…