Non-Kirchhoff Vertices and Nonlinear Schrodinger Ground States on Graphs

被引：10
作者：
Adami, Riccardo [1 ]
Boni, Filippo [1 ,2 ]
Ruighi, Alice [1 ,2 ]
机构：
[1] Politecn Torino, Dipartimento Sci Matemat GL Lagrange, Corso Duca Abruzzi 24, Turin 10129, Italy
[2] Univ Torino, Dipartimento Matemat G Peano, Via Carlo Alberto 10, Turin 10123, Italy
来源：
MATHEMATICS | 2020年 / 8卷 / 04期
关键词：
quantum graphs; Nonlinear Schrodinger Equation; ground states; CONSTRAINED ENERGY MINIMIZATION; STANDING WAVES; DIMENSIONAL CROSSOVER; ORBITAL STABILITY; SOLITARY WAVES; METRIC GRAPHS; NLS EQUATION; BOUND-STATES; BLOW-UP; INSTABILITY;
D O I：
10.3390/math8040617
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrodinger 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, Fulop-Tsutsui, and others.
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页数：14
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