Regularity and Conjugacy for Constrained Variational 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 ∈ ...
متن کاملStrong convergence for variational inequalities and equilibrium problems and representations
We introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for ...
متن کاملInterior gradient regularity for BV minimizers of singular variational problems
We consider a class of vectorial integrals with linear growth, where, as a key feature, some degenerate/singular behavior is allowed. For generalized minimizers of these integrals in BV, we establish interior gradient regularity and — as a consequence — uniqueness up to constants. In particular, these results apply, for 1 < p < 2, to the singular model integrals ∫ Ω (1 + |∇w(x)|) 1 p dx . MSC (...
متن کاملHartley Series Direct Method for Variational Problems
The computational method based on using the operational matrix of anorthogonal function for solving variational problems is computeroriented. In this approach, a truncated Hartley series together withthe operational matrix of integration and integration of the crossproduct of two cas vectors are used for finding the solution ofvariational problems. Two illustrative...
متن کاملLagrangian and Hamiltonian Formalism for Constrained Variational Problems
We consider solutions of Lagrangian variational problems with linear constraints on the derivative. These solutions are given by curves γ in a differentiable manifold M that are everywhere tangent to a smooth distribution D on M ; such curves are called horizontal. We study the manifold structure of the set ΩP,Q(M,D) of horizontal curves that join two submanifolds P and Q of M . We consider an ...
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: WSEAS TRANSACTIONS ON SYSTEMS
سال: 2020
ISSN: 1109-2777
DOI: 10.37394/23202.2020.19.14