Hölderian variational problems subject to integral constraints
نویسندگان
چکیده
منابع مشابه
A numerical approach to variational problems subject to convexity constraint
We describe an algorithm to approximate the minimizer of an elliptic functional in the form ∫ Ω j(x, u,∇u) on the setC of convex functions u in an appropriate functional spaceX . Such problems arise for instance in mathematical economics [4]. A special case gives the convex envelope u∗∗ 0 of a given function u0. Let (Tn) be any quasiuniform sequence of meshes whose diameter goes to zero, and In...
متن کاملCompact Linearization for Binary Quadratic Problems subject to Assignment Constraints
We prove new necessary and sufficient conditions to carry out a compact linearization approach for a general class of binary quadratic problems subject to assignment constraints as it has been proposed by Liberti in 2007. The new conditions resolve inconsistencies that can occur when the original method is used. We also present a mixed-integer linear program to compute a minimally-sized lineari...
متن کاملApproximations of Stochastic Optimization Problems Subject to Measurability Constraints
Motivated by the numerical resolution of stochastic optimization problems subject to measurability constraints, we focus upon the issue of how to discretize the components arising in the problem formulation. By means of a counterexample based on Monte Carlo approximation, we emphasize the importance of independent discretization of, on the one side, the random variable modelling uncertainties (...
متن کاملHomogenization of Variational Problems under Manifold Constraints
Abstract. Homogenization of integral functionals is studied under the constraint that admissible maps have to take their values into a given smooth manifold. The notion of tangential homogenization is defined by analogy with the tangential quasiconvexity introduced by Dacorogna, Fonseca, Malý & Trivisa [18]. For energies with superlinear or linear growth, a Γ-convergence result is established i...
متن کاملHandling Convexity-Like Constraints in Variational Problems
We provide a general framework to construct finite-dimensional approximations of the space of convex functions, which also applies to the space of c-convex functions and to the space of support functions of convex bodies. We give precise estimates of the distance between the approximation space and the admissible set. This framework applies to the approximation of convex functions by piecewise-...
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 Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.06.029