Geodesic
Multiple Solutions for a Class of Schr ̈ odinger Equations Involving the Fractional p-Laplacian
Minimax theory and its applications, Tome 2 (2017) no. 1
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We deal with the multiplicity of weak solutions of the non-local elliptic equation (−∆)s pu + V(x)|u|p−2 u = g(x,u) in RN, where (−∆)s p is the so-called fractional p-Laplacian, V is a suitable continuous potential and the nonlinearity g grows as |u|p−2u at infinity. Our results extend the classical local counterpart, that is when s = 1.
Mots-clés : Fractional p-Laplacian, integro-differential operator, variational methods, asymp totically linear problem, resonant problem, pseudo-genus 
@article{MTA_2017_2_1_a1,
     author = {Rossella Bartolo,Alessio Fiscella},
     title = {Multiple {Solutions} for a {Class} of {Schr} \ensuremath{\ddot{}} odinger {Equations} {Involving} the {Fractional} {p-Laplacian}},
     journal = {Minimax theory and its applications},
     year = {2017},
     volume = {2},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2017_2_1_a1/}
}
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Rossella Bartolo,Alessio Fiscella. Multiple Solutions for a Class of Schr ̈ odinger Equations Involving the Fractional p-Laplacian. Minimax theory and its applications, Tome 2 (2017) no. 1. http://geodesic.mathdoc.fr/item/MTA_2017_2_1_a1/