Abstract
In this paper, we study the following singular elliptic problem:where
be a bounded smooth domain,
denotes the
-Laplace operator,
is a parameter and
is a constant. We require
to satisfy assumptions (g1)–(g2) and
to satisfy assumptions (h1)–(h4) in Section 1. We employ variational methods in order to show the existence of
such that
admits at least two solutions for all
one solution for
and no solution for all
Acknowledgements
The authors would like to thank the anonymous referees for carefully reading this paper and their useful comments.