73 citations · 413 across the 37 of their papers we have counts for
4 papers · 2 filters
Normalized solutions of -supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1
In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a -…
Bounded Palais-Smale sequences with Morse type information for some constrained functionals
Jack Borthwick, Xiaojun Chang, Louis Jeanjean +1
In this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
On the nodal set of solutions to some sublinear equations without homogeneity
Nicola Soave, Giorgio Tortone
We investigate the structure of the nodal set of solutions to an unstable Alt-Phillips type problem \[ -Δu = λ_+(u^+)^{p-1}-λ_-(u^-)^{q-1} \] where , , $λ_- \g…
Normalized solutions of -supercritical NLS equations on compact metric graphs
Xiaojun Chang, Louis Jeanjean, Nicola Soave
This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schrödinger equation on compact metric graphs. The invest…