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Fractional elliptic equations with critical growth and singular nonlinearities
, K. Sreenadh
Published in Texas State University - San Marcos
Volume: 2016
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 > 2s, s ∈ (0,1), λ > 0, 0 < q ≤ 1, θ ≤ a(x) ∈ L∞ for some θ > 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.
About the journal
JournalElectronic Journal of Differential Equations
PublisherTexas State University - San Marcos