Bifurcation results for a fractional elliptic equation with critical exponent in Rⁿ

2014/10/12 by Dipierro, Serena, Medina, Maria, Peral, Ireneo +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.3076

Abstract

In this paper we study some nonlinear elliptic equations in \Rⁿ obtained as a perturbation of the problem with the fractional critical Sobolev exponent, that is (-Δ)^s u = ε h u^q + u^p in\Rⁿ, where s∈(0,1), n>4s, ε>0 is a small parameter, p=(n+2s)/(n-2s), 0

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