Abstract
In this paper we establish the existence of two nontrivial weak solutions of a one parameter non-local eigenvalue problem under homogeneous Dirichlet boundary conditions in bounded domains, involving a general non-local elliptic p-Laplacian operator.
Dedicated to Ermanno Lanconelli on the occasion of his 70th birthday,with great feelings of esteem and affection
Mathematics Subject Classification: 35R11, 35J60, 35S15, 47G20
The manuscript was sent on November 7, 2013.
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Acknowledgements
The first author was partially supported by the Italian MIUR Project Aspetti variazionali e perturbativi nei problemi differenziali nonlineari (201274FYK7) and is a member of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The manuscript was realized within the auspices of the INdAM–GNAMPA Project 2015 titled Modelli ed equazioni nonlocali di tipo frazionario (Prot_2015_000368).
We thank the anonymous referee for the careful reading of our manuscript and the useful comments.
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Pucci, P., Saldi, S. (2015). Multiple Solutions for an Eigenvalue Problem Involving Non-local Elliptic p-Laplacian Operators. In: Citti, G., Manfredini, M., Morbidelli, D., Polidoro, S., Uguzzoni, F. (eds) Geometric Methods in PDE’s. Springer INdAM Series, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-319-02666-4_9
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DOI: https://doi.org/10.1007/978-3-319-02666-4_9
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