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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/31363

Title: Characterization of the Solvability of Generalized Constrained Variational Equations
Authors: Ruiz-Galán, Manuel
Issue Date: 2012
Abstract: In a general context, that of the locally convex spaces, we characterize the existence of a solution for certain variational equations with constraints. For the normed case and in the presence of some kind of compactness of the closed unit ball, more specifically, when we deal with reflexive spaces or, in a more general way, with dual spaces, we deduce results implying the existence of a unique weak solution for a wide class of linear elliptic boundary value problems that do not admit a classical treatment. Finally, we apply our statements to the study of linear impulsive differential equations, extending previously stated results.
Sponsorship: This research is partially supported by the Junta de Andaluca Grant FQM359.
Publisher: Hindawi Publishing Corporation
Keywords: Inf-sup conditions
Impulsive differential equations
Finite element
Spaces
Theorem
Multiplicity
URI: http://hdl.handle.net/10481/31363
ISSN: 1085-3375
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Ruiz Galán, M. Characterization of the Solvability of Generalized Constrained Variational Equations. Abstract and Applied Analysis, 2012: 247425 (2012). [http://hdl.handle.net/10481/31363]
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