We study the existence of solutions for a class of saturable weakly coupled Schrodinger systems. In most of the cases we show that least energy solutions have necessarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.
Weakly coupled nonlinear Schrodinger systems: the saturation effect / L. D., Maia; Montefusco, Eugenio; B., Pellacci. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 46:(2013), pp. 325-351. [10.1007/s00526-011-0484-x]
Weakly coupled nonlinear Schrodinger systems: the saturation effect
MONTEFUSCO, Eugenio;
2013
Abstract
We study the existence of solutions for a class of saturable weakly coupled Schrodinger systems. In most of the cases we show that least energy solutions have necessarily one trivial component. In addition sufficient conditions for the existence of a solution with both positive components are found.File allegati a questo prodotto
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