Positive Solutions for Fractional p- Laplace Semipositone Problem with Superlinear Growth

2023/04/21 by Dhanya, R., Jana, Ritabrata, Kumar, Uttam +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.10887

Abstract

We consider a semipositone problem involving the fractional p Laplace operator of the form \beginaligned (-Δ)_p^s u amp;=μ( u^r-1) in Ω,
u amp;gt;0 in Ω,
u amp;=0 on Ω^c, \endaligned where Ω is a smooth bounded convex domain in ℝ^N, p-1

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