3 papers
math-ph2015
Mean-field limit and phase transitions for nematic liquid crystals in the continuum
Sven Bachmann, François Genoud
We discuss thermotropic nematic liquid crystals in the mean-field regime. In the first part of this article, we rigorously carry out the mean-field limit of a system of rod-lik…
math.CA2011
Half eigenvalues and the Fucik spectrum of multi-point, boundary value problems
Francois Genoud, Bryan P. Rynne
We consider the nonlinear boundary value problem consisting of the equation \tag{1} -u" = f(u) + h, \quad \text{a.e. on ,} where , together with the multi-…
math.CA2011
Second order, multi-point problems with variable coefficients
Francois Genoud, Bryan P. Rynne
In this paper we consider the eigenvalue problem consisting of the equation -u" = \la r u, \quad \text{on }, where and $\la \in \R$, together with…