MULTIPLICITY AND CONCENTRATION RESULTS FOR SOME NONLINEAR SCHRODINGER EQUATIONS WITH THE FRACTIONAL p-LAPLACIAN

Ambrosio, VincenzoIsernia, Teresa2018-12-132018-12-132018-12-132018-11-0110.3934/dcds.2018254https://infoscience.epfl.ch/handle/20.500.14299/152882WOS:000444156800019We 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.Mathematics, AppliedMathematicsfractional schrodinger equationfractional p-laplacian operatornehari manifoldljusternik-schnirelmann theorycritical growthpositive solutionsr-nground-stateregularityeigenvaluesexistenceprincipleMULTIPLICITY AND CONCENTRATION RESULTS FOR SOME NONLINEAR SCHRODINGER EQUATIONS WITH THE FRACTIONAL p-LAPLACIANtext::journal::journal article::research article