منابع مشابه
Periodic homogenization for convex functionals using Mosco convergence
We study the relationship between the Mosco convergence of a sequence of convex proper lower semicontinuous functionals, defined on a reflexive Banach space, and the convergence of their subdifferentiels as maximal monotone graphs. We then apply these results together with the unfolding method (see [10]) to study the homogenization of equations of the form − div dε = f , with (∇uε(x), dε(x)) ∈ ...
متن کاملModels for growth of heterogeneous sandpiles via Mosco convergence
In this paper we study the asymptotic behavior of several classes of power-law functionals involving variable exponents pn(·) → ∞, via Mosco convergence. In the particular case pn(·) = np(·), we show that the sequence {Hn} of functionals Hn : L(R )→ [0,+∞] given by Hn(u) = ∫ RN λ(x) np(x) |∇u(x)| dx if u ∈ L(R ) ∩W 1,np(·)(RN ) +∞ otherwise, converges in the sense of Mosco to a functional ...
متن کاملMosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
In this paper, we propose and analyze an explicit type algorithm for finding a common element of the set of solutions of a finite family of generalized equilibrium problems and the set of common fixed points of two countable families of total quasi-φ-asymptotically nonexpansive mappings in a Banach space E. As an application of our result, we suggest a framework for finding a common solution of...
متن کاملConvergence of Unbounded Multivalued Supermartingales in the Mosco and Slice Topologies
Our starting point is the Mosco-convergence result due to Hess ((He'89]) for integrable multivalued supermartingales whose values may be unbounded, but are majorized by a w-ball-compact-valued function. It is shown that the convergence takes place also in the slice topology. In the case when both the underlying space X and its dual X have the Radon-Nikodym property a weaker compactness assumpti...
متن کاملClosure of the set of diffusion functionals with respect to the Mosco-convergence
We characterize the functionals which are Mosco-limits, in the L2(Ω) topology, of some sequence of functionals of the kind Fn(u) := ∫ Ω αn(x)|∇u(x)| dx , where Ω is a bounded domain of RN (N ≥ 3). It is known that this family of functionals is included in the closed set of Dirichlet forms. Here, we prove that the set of Dirichlet forms is actually the closure of the set of diffusion functionals...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-1012924-9