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- Title
Asymptotically linear problems driven by fractional Laplacian operators.
- Authors
Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico
- Abstract
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. Copyright © 2015 John Wiley & Sons, Ltd.
- Subjects
LAPLACIAN operator; DIFFERENTIAL operators; INTEGRO-differential equations; DIFFERENTIAL equations; SADDLEPOINT approximations
- Publication
Mathematical Methods in the Applied Sciences, 2015, Vol 38, Issue 16, p3551
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3438