Asymmetric critical fractional p-Laplacian problems
Date
2017-04-18
Authors
Huang, Li
Yang, Yang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Fractional p-Laplacian, Critical nonlinearity, Asymmetric nonlinearity, Linking, ℤ2-cohomological index
Citation
Huang, L., & Yang, Y. (2017). Asymmetric critical fractional p-Laplacian problems. <i>Electronic Journal of Differential Equations, 2017</i>(103), pp. 1-12.
Rights
Attribution 4.0 International