Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator (1505.04280v1)

Published 16 May 2015 in math.AP

Abstract: In this paper we deal with a Kirchhoff type problem driven by a fractional nonlocal integrodifferential operator $-\mathcal L_K$ and involving a critical nonlinearity. For this problem we prove the existence of infinitely many solutions, through a suitable truncation argument and exploiting the genus theory introduced by Krasnoselskii.

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Authors (1)

Alessio Fiscella

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