TY - JOUR
T1 - Asymptotically linear problems driven by fractional Laplacian operators
AU - Fiscella, Alessio
AU - Servadei, Raffaella
AU - Valdinoci, Enrico
PY - 2015/1/1
Y1 - 2015/1/1
N2 - In this paper, we study a non-local fractional Laplace equation, depending on a parameter, with asymptotically linear right-hand side. Our main result concerns the existence of weak solutions for this equation, and it is obtained using variational and topological methods. We treat both the non-resonant case and the resonant one.
AB - In this paper, we study a non-local fractional Laplace equation, depending on a parameter, with asymptotically linear right-hand side. Our main result concerns the existence of weak solutions for this equation, and it is obtained using variational and topological methods. We treat both the non-resonant case and the resonant one.
KW - fractional Laplacian
KW - integrodifferential operators
KW - Palais-Smale condition
KW - Saddle Point Theorem
KW - variational techniques
UR - http://www.scopus.com/inward/record.url?scp=84945479139&partnerID=8YFLogxK
U2 - 10.1002/mma.3438
DO - 10.1002/mma.3438
M3 - Article
AN - SCOPUS:84945479139
SN - 0170-4214
VL - 38
SP - 3551
EP - 3563
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 16
ER -