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.
Asymptotically linear problems driven by fractional Laplacian operators / A. Fiscella, R. Servadei, E. Valdinoci. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 38:16(2015), pp. 3551-3563. [10.1002/mma.3438]
Asymptotically linear problems driven by fractional Laplacian operators
A. Fiscella
;E. ValdinociUltimo
2015
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.
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