Data di Pubblicazione:
2015
Citazione:
Ground states and concentration phenomena for the fractional Schrödinger equation / M.M. Fall, F. Mahmoudi, E. Valdinoci. - In: NONLINEARITY. - ISSN 0951-7715. - 28:6(2015), pp. 1937-1961. [10.1088/0951-7715/28/6/1937]
Abstract:
We consider here solutions of the nonlinear fractional Schrödinger equation We show that concentration points must be critical points for V. We also prove that if the potential V is coercive and has a unique global minimum, then ground states concentrate suitably at such a minimal point as ε tends to zero. In addition, if the potential V is radial and radially decreasing, then the minimizer is unique provided ε is small.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
concentration phenomena; fractional Laplacian; ground states; uniqueness; Statistical and Nonlinear Physics; Mathematical Physics; Physics and Astronomy (all); Applied Mathematics
Elenco autori:
M.M. Fall, F. Mahmoudi, E. Valdinoci
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