Qualitative Properties of Eigenvectors Related to Multivalued Operators and some Existence Results

Houssam Chrayteh ()
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Houssam Chrayteh: Université de Poitiers, SP2MI

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 9, 507-533

Abstract: 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.

Keywords: Nonlinear eigenvalues; Multivalued operators; Clarke subdifferential; Relative rearrangement; Monotone rearrangement (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0064-z

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