𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convexity methods in variational calculus

Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
58 KB
Volume
24
Category
Article
ISSN
0167-8019

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The Direct Method in the Calculus of Var
The Direct Method in the Calculus of Variations for Convex Bodies
✍ David Jerison πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 435 KB

The purpose of this paper is to calculate the first variation of capacity and of the lowest eigenvalue for the Dirichlet problem in convex domains in R N . These formulas are well known in the smooth case and are due to Poincare and Hadamard, respectively. The point is to prove them in sufficient ge

Four applications of majorization to con
Four applications of majorization to convexity in the calculus of variations
✍ Marius Buliga πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 184 KB

The resemblance between the Horn-Thompson theorem and a recent theorem by Dacorogna-Marcellini-Tanteri indicates that Schur-convexity and the majorization relation are relevant for applications in the calculus of variations and its related notions of convexity, such as rank one convexity or quasicon

Well posedness and porosity in the calcu
Well posedness and porosity in the calculus of variations without convexity assumptions
✍ Alexander J. Zaslavski πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 200 KB

The Tonelli existence theorem in the calculus of variations and its subsequent modiΓΏcations were established for integrands f which satisfy convexity and growth conditions. In Zaslavski (Nonlinear Analysis 43 (200l) 339), a generic well-posedness result (with respect to variations of the integrand o