Existence of radial solution for a quasilinear equation with singular nonlinearity

2015/12/09 by Bal, Kaushik
#35j20 #35j65 #35j70 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.02827

Abstract

We prove that the equation -Δ_p u =λ( \frac1 u^δ + u^q + f(u)) in B_R(0) u =0 on ∂ B_R(0), ugt;0 in B_R(0) admits a weak radially symmetric solution for λ>0 sufficiently small, 0<δ<1 and p-1

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