We consider a class of parametric Schrödinger equations driven by the fractional p-Laplacian operator and involving continuous positive potentials and nonlinearities with subcritical or critical growth. Using variational methods and Ljusternik-Schnirelmann theory, we study the existence, multiplicity and concentration of positive solutions for small values of the parameter.
Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional p-Laplacian / Ambrosio, Vincenzo; Isernia, Teresa. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 38:11(2018), pp. 5835-5881. [10.3934/dcds.2018254]
Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional p-Laplacian
Ambrosio, Vincenzo;Isernia, Teresa
2018-01-01
Abstract
We consider a class of parametric Schrödinger equations driven by the fractional p-Laplacian operator and involving continuous positive potentials and nonlinearities with subcritical or critical growth. Using variational methods and Ljusternik-Schnirelmann theory, we study the existence, multiplicity and concentration of positive solutions for small values of the parameter.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
