Defense Technical Information Center (DTIC) · 1978 · 81 citations · 0 references
Natural SciencesComputational EngineeringFinite Element MethodsBoundary ConditionsBoundary-value ProblemsCritical Point AnalysisInitial Value ProblemsPartial Differential EquationsVariational FormulationCritical Point TheoryCritical PointsElliptic Boundary-value ProblemsElliptic Partial Differential EquationsLinear Partial Differential EquationsVariational Methods In Partial Differential Equations
Variational methods are used to obtain some new existence theorems for critical points of a real valued function on a Banach space. Applications are made to semilinear elliptic boundary value problems. (Author)