In this article, we study the fractional Laplacian equation with critical growth and singular nonlinearity (Formula Presented) where Ω is a bounded domain in ℝn with smooth boundary ∂Ω, n &gt; 2s, s ∈ (0,1), λ &gt; 0, 0 &lt; q ≤ 1, θ ≤ a(x) ∈ L∞ for some θ &gt; 0 and (Formula Presented). We use variational methods to show the existence and multiplicity of positive solutions of the above problem with respect to the parameter λ. © Texas State University 2016.

Tuhina Mukherjee

Department of Mathematics

IIT Jodhpur

K. Sreenadh

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Journal	Electronic Journal of Differential Equations
Publisher	Texas State University - San Marcos
ISSN	10726691