Multiplicity results of fractional p-Laplace equations with sign-changing and singular nonlinearity

2016/04/04 by Goyal, Sarika · 1 citation
#35A15 #35J75 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.00801

Abstract

In this article, we study the following fractional p-Laplacian equation with singular nonlinearity (P_\la) \ - 2∫_{\mb Rⁿ}\frac|w(y)-w(x)|^p-2(w(y)-w(x))|x-y|^n+psdy = a(x) w^-q+ \la b(x) w^r in \Om w · gt;0 in \Om, w = 0 in \mb Rⁿ ∖\Om, . where \Om is a bounded domain in \mb Rⁿ with smooth boundary ∂ \Om, n> ps,s∈(0,1), \la>0, 0

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