共查询到20条相似文献,搜索用时 390 毫秒
1.
2.
3.
4.
A purely topological characterization of relatively compact sets is given for the metric space (K(Y),D) of upper semicontinuous, compact-supported, normal fuzzy subsets of a metric space Y. The considered metric D is that of the distance between fuzzy subsets, which is the supremum of the Hausdorff distances of the corresponding level sets. In the given proof the compactness of a variational convergence which was introduced by De Giorgi and Franzoni is fundamental. 相似文献
5.
6.
7.
8.
We show that the class of all delta-convex selfmappings of R (differences of two convex functions) enjoys the difference property in the sense of N.G. de Bruijn. The Q-differentiability technique has been applied as a proof tool. 相似文献
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains
This paper is concerned with pullback attractors of the stochastic p -Laplace equation defined on the entire space Rn. We first establish the asymptotic compactness of the equation in L2(Rn) and then prove the existence and uniqueness of non-autonomous random attractors. This attractor is pathwise periodic if the non-autonomous deterministic forcing is time periodic. The difficulty of non-compactness of Sobolev embeddings on Rn is overcome by the uniform smallness of solutions outside a bounded domain. 相似文献