Manifold Constrained Non-uniformly Elliptic Problems
نویسندگان
چکیده
منابع مشابه
Manifold Constrained Variational Problems
The integral representation for the relaxation of a class of energy functionals where the admissible fields are constrained to remain on a C m-dimensional manifold M ⊂ R is obtained. If f : Rd×N → [0,∞) is a continuous function satisfying 0 ≤ f(ξ) ≤ C(1 + |ξ|), for C > 0, p ≥ 1, and for all ξ ∈ Rd×N , then F(u,Ω) : = inf {un} lim inf n→∞ Z Ω f(∇un) dx : un ⇀ u in W , un(x) ∈M a.e. x ∈ Ω, n ∈ ...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2019
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-019-00275-3