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 Z2-cohomological
index
Lingua originale | English |
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pagine (da-a) | 818-831 |
Numero di pagine | 14 |
Rivista | Journal of Mathematical Analysis and Applications |
Volume | 433 |
Stato di pubblicazione | Pubblicato - 2016 |
Keywords
- Vanishing potentials
- fractional p-Laplacians