Galewski, Marek On the nonlinear elastic simply supported beam equation. (English) Zbl 1224.34044 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 19, No. 1, 109-120 (2011). Summary: Using a direct variational approach, we consider the existence of solutions and their dependence on a functional parameter for the elastic beam equation by means of investigating the critical points to the relevant Euler action functional. Cited in 5 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 49J45 Methods involving semicontinuity and convergence; relaxation 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 74K10 Rods (beams, columns, shafts, arches, rings, etc.) Keywords:beam equation; simply supported ends; variational method; dependence on a parameter PDFBibTeX XMLCite \textit{M. Galewski}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 19, No. 1, 109--120 (2011; Zbl 1224.34044) Full Text: EuDML