Splitting Type Variational Problems with Linear Growth Conditions
نویسندگان
چکیده
منابع مشابه
Sufficient Variational Conditions for Isoperimetric Control Problems
For optimal control problems involving isoperimetric constraints, by using a two-norm approach, a new sufficiency theorem for a proper strong minimum is obtained. It is applicable to processes that satisfy the Legendre-Clebsch necessary condition but its strict version is not imposed, that is, the processes may be singular. The conditions are expressed explicitly in terms of the second variatio...
متن کاملNecessary Conditions for Solutions to Variational Problems
Ω [F (∇v (x)) + g (x, v (x))] dx with F a convex function defined on RN , it has been conjectured in [2] that the suitable form of the Euler-Lagrange equations satisfied by a solution u should be ∃p(·) ∈ L(Ω), a selection from ∂F (∇u(·)), such that div p(·) = gv(·, u(·)) in the sense of distributions. Equivalently, the condition can be expressed as ∃p(·) ∈ L(Ω) : div p(·) = gv(·, u(·)) and, for...
متن کاملProx-Penalization and Splitting Methods for Constrained Variational Problems
This paper is concerned with the study of a class of prox-penalization methods for solving variational inequalities of the form Ax + NC(x) 3 0 where H is a real Hilbert space, A : H ⇒ H is a maximal monotone operator and NC is the outward normal cone to a closed convex set C ⊂ H. Given Ψ : H → R ∪ {+∞} which acts as a penalization function with respect to the constraint x ∈ C, and a penalizatio...
متن کاملNecessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...
متن کاملOn a class of variational problems with linear growth related to image inpainting
In this article, we investigate a modification of the total variation image inpainting method and improve the partial regularity results previously established in [8] to C 1,α interior differentiability of solutions of this new variational problem using De Giorgi type arguments.
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: Journal of Mathematical Sciences
سال: 2020
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-020-05012-8