Mappings of Finite Distortion of Polynomial Type
نویسندگان
چکیده
منابع مشابه
Extremal Mappings of Finite Distortion
The theory of mappings of nite distortion has arisen out of a need to extend the ideas and applications of the classical theory of quasiconformal mappings to the degenerate elliptic setting. There one nds concrete applications in materials science, particularly non-linear elasticity and critical phase phenomena, and the calculus of variations. In this paper we re ne and extend these connections...
متن کاملThe Limit of Mappings with Finite Distortion
We show here that the limit mapping f of a weakly convergent sequence of mappings fν with finite distortion also has finite distortion and give several dimension free estimates for the dilatation of f . Our arguments are based on the weak continuity of the Jacobian determinants and the concept of polyconvexity.
متن کاملMappings of Finite Distortion: Removable Singularities for Locally Homeomorphic Mappings
Let f be a locally homeomorphic mapping of finite distortion in dimension larger than two. We show that when the distortion of f satisfies a certain subexponential integrability condition, small sets are removable. The smallness is measured by a weighted modulus.
متن کاملMappings of finite distortion: The degree of regularity
This paper investigates the self-improving integrability properties of the so-called mappings of finite distortion. Let K(x) ≥ 1 be a measurable function defined on a domain Ω ⊂ R, n ≥ 2, and such that exp(βK(x)) ∈ Lloc(Ω), β > 0. We show that there exist two universal constants c1(n), c2(n) with the following property: Let f be a mapping in W 1,1 loc (Ω,R ) with |Df(x)| ≤ K(x)J(x, f) for a.e. ...
متن کاملRnc Workshop Boundary Values of Mappings of Finite Distortion
We find a sufficient condition for a weakly differentiable homeomorphism in Euclidean space to have a homeomorphic extension to the boundary of its domain of definition. In a certain sense, this condition is best possible.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2012
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-012-9363-8