×

On the nonlinear elastic simply supported beam equation. (English) Zbl 1224.34044

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.

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.)
PDFBibTeX XMLCite
Full Text: EuDML