In this article, we study the following fractional p-Laplacian equation with critical growth and singular non-linearity: (equation presented). where ω is a bounded domain in ℝ n with smooth boundary δω, n &gt; sp, s ϵ (0, 1), λ &gt; 0, 0 &lt; q ≥ 1 and 1 &lt; p &lt; α + 1 ≥ p ∗ s . We use variational methods to show the existence and multiplicity of positive solutions of the above problem with respect to the parameter λ. © 2019 Walter de Gruyter GmbH, Berlin/Boston Fractional p-Laplacian.

Tuhina Mukherjee

Department of Mathematics

IIT Jodhpur

K. Sreenadh

Fulltext

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Journal	Data powered by TypesetAdvances in Nonlinear Analysis
Publisher	Data powered by TypesetDe Gruyter
ISSN	21919496