Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614901 | Journal of Mathematical Analysis and Applications | 2016 | 14 Pages |
Abstract
We obtain nontrivial solutions of a critical fractional p -Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev exponents, the problem is further complicated by the absence of a direct sum decomposition suitable for applying classical linking arguments. We overcome this difficulty using a generalized linking construction based on the Z2Z2-cohomological index.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kanishka Perera, Marco Squassina, Yang Yang,