Abstract
We study the following fractional equation with Hardy potential and singular nonlinearity where is a bounded domain in with smooth boundary , n>2s, , the sharp constant of the fractional Hardy Sobolev inequality, , with , such that , and is a sign-changing function such that . Using variational methods, we show existence, non-existence and multiplicity of positive solutions of with respect to the parameter λ.
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Acknowledgments
The author would like to thank Science and Engineering Research Board, Department of Science and Technology, Government of India for the financial support under the grant ECR/2017/002651.
Disclosure statement
No potential conflict of interest was reported by the authors.