Asymptotically linear problems driven by fractional Laplacian operators

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Date
2014
Volume
1963
Issue
Journal
Series Titel
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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 nonresonant case and the resonant one.

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Keywords
Integrodifferential operators, fractional Laplacian, variational techniques, Saddle Point Theorem, Palais-Smale condition
Citation
Fiscella, A., Servadei, R., & Valdinoci, E. (2014). Asymptotically linear problems driven by fractional Laplacian operators (Vol. 1963). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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