TY - JOUR
T1 - Critical fractional p-Laplacian problems with possibly vanishing potentials
AU - Perera, Kanishka
AU - Squassina, Marco
AU - Yang, Yang
PY - 2016
Y1 - 2016
N2 - 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
AB - 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
KW - Vanishing potentials
KW - fractional p-Laplacians
KW - Vanishing potentials
KW - fractional p-Laplacians
UR - http://hdl.handle.net/10807/87033
U2 - 10.1016/j.jmaa.2015.08.024
DO - 10.1016/j.jmaa.2015.08.024
M3 - Article
SN - 0022-247X
VL - 433
SP - 818
EP - 831
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
ER -