Huang, LiYang, Yang2022-04-112022-04-112017-04-18Huang, L., & Yang, Y. (2017). Asymmetric critical fractional p-Laplacian problems. <i>Electronic Journal of Differential Equations, 2017</i>(103), pp. 1-12.1072-6691https://hdl.handle.net/10877/15635We consider the asymmetric critical fractional p-Laplacian problem (-∆)spu = λ|u|p-2u + up*s-1+, in Ω u = 0, in ℝN \ Ω where λ > 0 is a constant, p*s = Np/(N - sp) is the fractional critical Sobolev exponent, and u+(x) = max{u(x), 0}. This extends a result in the literature for the local case s = 1. We prove the theorem based on the concentration compactness principle of the fractional p-Laplacian and a linking theorem based on the ℤ2-cohomological index.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalFractional p-LaplacianCritical nonlinearityAsymmetric nonlinearityLinkingℤ2-cohomological indexArticle