Positive solutions of the p-Kirchhoff problem with degenerate and sign-changing nonlocal term
Positive solutions of the p-Kirchhoff problem with degenerate and sign-changing nonlocal term
Source title:
Zeitschrift Fur Angewandte Mathematik Und Physik, 70:68,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
We establish the existence and multiplicity of positive solutions of the p-Kirchhoff problem
where is a smooth bounded domain of
and
is subcritical and positive in a right neighborhood of zero. The main feature of our problem is that
may be any continuous function such that the integral of m in each connected component of
is controlled by
. Therefore, in our paper m may be degenerate, i.e., it could vanish, and sign-changing at any number of different points.