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