Multiplicity of solutions for a scalar field equation involving a fractional p-Laplacian with general nonlinearity

2021/02/26 by Bueno, Hamilton, Miyagaki, Olimpio, Vieira, Ailton
#35A15 #35B33 #35J62 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.13436

Abstract

We investigate the existence of infinitely many radially symmetric solutions to the following problem (-Δ_p)^s u=g(u) \textrm in ℝ^N, u∈ W^s,p(ℝ^N), where s∈ (0,1), 2 ≤ p < ∞, sp ≤ N , 2 ≤ N ∈ ℕ and (-Δ_p)^s is the fractional p-Laplacian operator. We treat both of cases sp=N and sp

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