ABSTRACT
We consider the semilinear elliptic problem:
where
is an open bounded subset,
Under assumptions
small we show that there exists a solution
to this problem. The interesting point of the problem under consideration is that it has a strong singularity.
AMS SUBJECT CLASSIFICATIONS:
Acknowledgments
The author thanks the referee for useful comments and also thanks Dr Jagmohan Tyagi for suggesting this problem and several helpful detailed discussions. Without his help, I could not have written this paper.
Disclosure statement
No potential conflict of interest was reported by the author.