TY - JOUR
T1 - Scalar field equation with non-local diffusion
AU - Felmer, Patricio
AU - Vergara, Ignacio
N1 - Publisher Copyright:
© 2015, Springer Basel.
PY - 2015/10/26
Y1 - 2015/10/26
N2 - In this paper we are interested on the existence of ground state solutions for fractional field equations of the form (Formula Presented.),where α∈(0,1) and f is an appropriate super-linear sub-critical nonlinearity. We prove regularity, exponential decay and symmetry properties for these solutions. We also prove the existence of infinitely many bound states and, through a non-local Pohozaev identity, we prove nonexistence results in the supercritical case.
AB - In this paper we are interested on the existence of ground state solutions for fractional field equations of the form (Formula Presented.),where α∈(0,1) and f is an appropriate super-linear sub-critical nonlinearity. We prove regularity, exponential decay and symmetry properties for these solutions. We also prove the existence of infinitely many bound states and, through a non-local Pohozaev identity, we prove nonexistence results in the supercritical case.
UR - http://www.scopus.com/inward/record.url?scp=84942370110&partnerID=8YFLogxK
U2 - 10.1007/s00030-015-0328-z
DO - 10.1007/s00030-015-0328-z
M3 - Article
AN - SCOPUS:84942370110
SN - 1021-9722
VL - 22
SP - 1411
EP - 1428
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 5
ER -