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.
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