Multiple Solutions for a Class of Schr¨ odinger Equations Involving the Fractional p-Laplacian
Keywords:
Fractional p-Laplacian, integro-differential operator, variational methods, asymp totically linear problem, resonant problem, pseudo-genus.Abstract
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.
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Published
2017-01-05
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How to Cite
Multiple Solutions for a Class of Schr¨ odinger Equations Involving the Fractional p-Laplacian. (2017). Minimax Theory and Its Applications, 2(1), 9–25. https://journalmta.com/index.php/jmta/article/view/21
