TY - JOUR
T1 - Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
AU - Liu, Zhisu
AU - Squassina, Marco
AU - Zhang, Jianjun
PY - 2017
Y1 - 2017
N2 - We study the existence of ground states to a nonlinear fractional\r\nKirchhoff equation with an external potential V . Under suitable assumptions on V , using the monotonicity trick and the profile decomposition, we\r\nprove the existence of ground states. In particular, the nonlinearity does\r\nnot satisfy the Ambrosetti–Rabinowitz type condition or monotonicity\r\nassumptions
AB - We study the existence of ground states to a nonlinear fractional\r\nKirchhoff equation with an external potential V . Under suitable assumptions on V , using the monotonicity trick and the profile decomposition, we\r\nprove the existence of ground states. In particular, the nonlinearity does\r\nnot satisfy the Ambrosetti–Rabinowitz type condition or monotonicity\r\nassumptions
KW - Kirchhoff equations
KW - Kirchhoff equations
UR - https://publicatt.unicatt.it/handle/10807/132141
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85026327306&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85026327306&origin=inward
U2 - 10.1007/s00030-017-0473-7
DO - 10.1007/s00030-017-0473-7
M3 - Article
SN - 1021-9722
VL - 24
SP - 1
EP - 32
JO - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
JF - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
IS - 4
ER -