Characterization of the Solvability of Generalized Constrained Variational Equations Ruiz Galán, Manuel Inf-sup conditions Impulsive differential equations Finite element Spaces Theorem Multiplicity 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. 2014-04-23T09:57:01Z 2014-04-23T09:57:01Z 2012 info:eu-repo/semantics/article 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] 1085-3375 http://hdl.handle.net/10481/31363 10.1155/2012/247425 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Hindawi Publishing Corporation