Qualitative Behavior of Local Minimizers of Singular Perturbed Variational Problems |
| |
Authors: | Markus Lilli |
| |
Institution: | 1.Institut für Mathematik,Universit?t Augsburg,Augsburg,Germany |
| |
Abstract: | We consider a non-convex variational problem (P) and the corresponding singular perturbed problem (P
ε
). The qualitative behavior of stable critical points of (P
ε
) depending on ε and a lower order term is discussed and we prove compactness of a sequence of stable critical points as ε ↘ 0. Moreover we show whether this limit is the global minimizer of (P). Furthermore uniform convergence is considered as well as the convergence rate depending on ε.
|
| |
Keywords: | nonlinear elasticity non-convex variational problem singular perturbation stable critical point |
本文献已被 SpringerLink 等数据库收录! |