Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840006 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 15 Pages |
Abstract
In this paper we show the existence of non-negative solutions for a Kirchhoff type problem driven by a nonlocal integrodifferential operator, that is −M(‖u‖Z2)LKu=λf(x,u)+|u|2∗−2uin Ω,u=0in Rn∖Ω where LKLK is an integrodifferential operator with kernel KK, ΩΩ is a bounded subset of RnRn, MM and ff are continuous functions, ‖⋅‖Z‖⋅‖Z is a functional norm and 2∗2∗ is a fractional Sobolev exponent.
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Authors
Alessio Fiscella, Enrico Valdinoci,