Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 38, Issue 11, Pages 5835-5881Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2018254
Keywords
Fractional Schrodinger equation; fractional p-Laplacian operator; Nehari manifold; Ljusternik-Schnirelmann theory; critical growth
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We consider a class of parametric Schrodinger 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.
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