108 citations · 965 across the 52 of their papers we have counts for
4 papers · 2 filters
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…
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…
Nonlinear Schrödinger equations near an infinite well potential
Thomas Bartsch, Mona Parnet
The paper deals with standing wave solutions of the dimensionless nonlinear Schrödinger equation \label{eq:abs1} iΦ_t(x,t) = -Δ_xΦ+V_\la(x)Φ+ f(x,Φ), \quad x\in\R^N,\ t\in\R,\tag{$…