We deal with the multiplicity of weak solutions of the non-local elliptic equation (-Delta)(p)(s)u + V(x) vertical bar u vertical bar(p-2)u = g(x,u) in R-N, where (-Delta)(p)(s) is the so- called fractional p- Laplacian, V is a suitable continuous potential and the nonlinearity g grows as vertical bar u vertical bar(p-2) u at infinity. Our results extend the classical local counterpart, that is when s = 1.

Bartolo, R., Fiscella, A. (2017). Multiple Solutions for a Class of Schrödinger Equations Involving the Fractional p-Laplacian. MINIMAX THEORY AND ITS APPLICATIONS, 2(1), 9-25.

Multiple Solutions for a Class of Schrödinger Equations Involving the Fractional p-Laplacian

Fiscella A
2017

Abstract

We deal with the multiplicity of weak solutions of the non-local elliptic equation (-Delta)(p)(s)u + V(x) vertical bar u vertical bar(p-2)u = g(x,u) in R-N, where (-Delta)(p)(s) is the so- called fractional p- Laplacian, V is a suitable continuous potential and the nonlinearity g grows as vertical bar u vertical bar(p-2) u at infinity. Our results extend the classical local counterpart, that is when s = 1.
Articolo in rivista - Articolo scientifico
Fractional p-Laplacian, integro-differential operator, variational methods, asymptotically linear problem, resonant problem, pseudo-genus
English
9
25
17
Bartolo, R., Fiscella, A. (2017). Multiple Solutions for a Class of Schrödinger Equations Involving the Fractional p-Laplacian. MINIMAX THEORY AND ITS APPLICATIONS, 2(1), 9-25.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/338134
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