In this article, we study the following fractional-Laplacian system with singular nonlinearity
where is a bounded domain in with smooth boundary , , , , , satisfy with , the pair of parameters . The weight functions such that , , and is a sign-changing function such that . Using variational methods, we show existence and multiplicity of positive solutions with respect to the pair of parameters .
Submitted July 20, 2016. Published July 18, 2017.
Math Subject Classifications: 35A15, 35J75, 35R11.
Key Words: Fractional-Laplacian system; singular nonlinearity; sign-changing weight function.
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| Sarika Goyal |
Department of Mathematics
Bennett University, Greater Noida
Uttar Pradesh, India
email: firstname.lastname@example.org, email@example.com
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