Qualitative Properties of Eigenvectors Related to Multivalued Operators and some Existence Results |
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Authors: | Houssam Chrayteh |
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Institution: | 1. UMR 7348 CNRS, Laboratoire de Math??matiques et Applications, Universit?? de Poitiers, SP2MI, Boulevard Marie et Pierre Curie, T??l??port 2, BP30179, 86962, Futuroscope, Chasseneuil Cedex, France
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Abstract: | In this work, we study a class of nonlinear eigenvalue problems related to fully discontinuous operators. In particular, we prove the existence of a critical point for two distinct problems. Connected with this problem, we also study a minimization problem with constraint, and we investigate the existence of solutions for a resonant case near zero. Moreover, we give some estimates and qualitative properties of solutions by using the relative rearrangement theory. |
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