Weakly coupled nonlinear Schrodinger systems: the saturation effect

We study the existence of solutions for a class of saturable weakly coupled Schrödinger systems. In most of the cases we show that least energy solutions have neces- sarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.



Titolo: Weakly coupled nonlinear Schrodinger systems: the saturation effect
Autori: 
PELLACCI, Benedetta
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Data di pubblicazione: 2013
Rivista: 
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS  
Abstract: We study the existence of solutions for a class of saturable weakly coupled Schrödinger systems. In most of the cases we show that least energy solutions have neces- sarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.
Handle: http://hdl.handle.net/11367/27367
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http://hdl.handle.net/11367/27367
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