108 citations · 965 across the 52 of their papers we have counts for
7 papers · 1 filter
Chaotic Dynamics in Multidimensional Transition States
Ali Allahem, Thomas Bartsch
The crossing of a transition state in a multidimensional reactive system is mediated by invariant geometric objects in phase space: An invariant hyper-sphere that represents the tr…
On the profile of sign changing solutions of an almost critical problem in the ball
Thomas Bartsch, Teresa D'Aprile, Angela Pistoia
We study the existence and the profile of sign-changing solutions to the slightly subcritical problem $$ -\De u=|u|^{2^*-2-\eps}u \hbox{in} \cB, \quad u=0 \hbox{on}\partial \cB, $$…
Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries
Thomas Bartsch, Teresa D'Aprile, Angela Pistoia
We study the existence of sign-changing solutions with multiple bubbles to the slightly subcritical problem $$-Δu=|u|^{2^*-2-\e}u \hbox{in}Ω, \quad u=0 \hbox{on}\partial Ω,$$ where…
Symmetry-breaking thermally induced collapse of dipolar Bose-Einstein condensates
Andrej Junginger, Jörg Main, Günter Wunner +1
We investigate a Bose-Einstein condensate with additional long-range dipolar interaction in a cylindrically symmetric trap within a variational framework. Compared to the ground st…
Bifurcation in a multi-component system of nonlinear Schrödinger equations
Thomas Bartsch
We consider the system -Δu_j + a(x)u_j = μ_j u_j^3 + \be\sum_{k\ne j}u_k^2u_j, u_j>0, \qquad j=1,...,n, on a possibly unbounded domain $\Om\subset\R^N$, , with Dirichlet bou…
Reaction rate calculation with time-dependent invariant manifolds
Thomas Bartsch, F. Revuelta, R. M. Benito +1
The identification of trajectories that contribute to the reaction rate is the crucial dynamical ingredient in any classical chemical reactivity calculation. This problem often req…