Characterization of the Solvability of Generalized Constrained Variational Equations
Metadatos
Mostrar el registro completo del ítemAutor
Ruiz Galán, ManuelEditorial
Hindawi Publishing Corporation
Materia
Inf-sup conditions Impulsive differential equations Finite element Spaces Theorem Multiplicity
Fecha
2012Referencia bibliográfica
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]
Patrocinador
This research is partially supported by the Junta de Andaluca Grant FQM359.Resumen
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.