Non-Kirchhoff Vertices and Nonlinear Schrödinger Ground States on Graphs

Mathematics

Alice Ruighi¹  Riccardo Adami¹  Filippo Boni¹ 

[1] Dipartimento di Scienze Matematiche “G.L. Lagrange”, Politecnico di Torino Corso Duca degli Abruzzi, 24, 10129 Torino, Italy;

关键词: quantum graphs;    Nonlinear Schrödinger Equation;    ground states;   

DOI  :  10.3390/math8040617

来源: DOAJ

【 摘 要 】

We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices where the matching condition, instead of being free (or Kirchhoff’s), is non-trivially interacting. This category includes Dirac’s delta conditions, delta prime, Fülöp-Tsutsui, and others.

【 授权许可】

Unknown