𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some remarks on variational principles

✍ Scribed by A. D. Ioffe; V. M. Tikhomirov

Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
405 KB
Volume
61
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Remarks on variational principles in ela
Remarks on variational principles in elastodynamics
✍ Yu Chen πŸ“‚ Article πŸ“… 1964 πŸ› Elsevier Science 🌐 English βš– 256 KB

Two principles are basic in the variational formulations of elasticity. Green's "variation for displacements" leads to the principle of minimum potential energy, whereas Castigliano's "variation for stresses" leads to the principle of minimum complementary energy. In the small vibration of elastic b

Remarks on some variational problems on
Remarks on some variational problems on noncomplete manifolds
✍ R. Bartolo; M. SΓ‘nchez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 315 KB

We shall review recent results obtained in the study of some periodic variational problems on Riemannian and Lorentzian manifolds with boundary. Firstly we shall analyze the existence of closed geodesics on a Riemannian manifold \(\left(\mathcal{M},\langle\cdot, \cdot\rangle_{R}\right)\). Then we sh

One remark to Ekeland's variational prin
One remark to Ekeland's variational principle
✍ A. Arutyunov; N. Bobylev; S. Korovin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 285 KB

This article deals with the generalization of Ekeland's first-order necessary conditions of minimum. They are extended to include second-order conditions. The results are applied to variational calculus and mathematical physics.