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841.
We construct positive and sign changing multipeak solutions to the pure critical exponent problem in a bounded domain with a shrinking hole, having a peak which concentrates at some point inside the shrinking hole (i.e. outside the domain) and one or more peaks which concentrate at interior points of the domain. These are, to our knowledge, the first multipeak solutions in a domain with a single small hole. 相似文献
842.
This work proposes a Progressive Assisted Sorting Algorithm (PASA) based on a multicriteria evaluation ELECTRE-type method.
The purpose of the PASA is to aid a decision maker to progressively sort a set of alternatives into a set of categories, which
we considered are ordered (ordinal sorting), following a consistency principle. We consider the principle that if an alternative
outranks (is as good as) a second one, then it must belong to the same category or to a better category. The set of alternatives
already sorted by the decision maker will implicitly define the categories, and will constrain the range of categories where
other alternatives may be sorted. We show how the same idea may be used in an aggregation/disaggregation approach, considering
some parameters of ELECTRE are not fixed a priori, but are constrained only by the examples provided. In this context, we
establish a “convex-shape property” stating that the range of possible categories for an alternative is always an interval
of categories. A discussion contrasting this approach with ELECTRE TRI is included in the conclusions. 相似文献
843.
Stokes问题各向异性网格Q2-P1混合元超收敛分析 总被引:1,自引:0,他引:1
讨论Stokes问题在各向异性冈格下的Q2-P1混合有限元方法,利用积分恒等式技巧得到了与传统方法相同的超逼近性质,同时基于插值后处理的技巧,构造了速度和压力的一对插值后处理算子,并且前者具有备向异性特征,从而导出了整体超收敛结果. 相似文献
844.
Jean-Paul Penot 《Journal of Global Optimization》2008,40(1-3):319-338
We look for a general framework in which the Ekeland duality can be formulated. We propose a scheme in which the parameter
sets are provided with a coupling function which induces a conjugacy. The decision spaces are not supposed to have any special
structure. We examine several examples. In particular, we consider some special classes of generalized convex functions. 相似文献
845.
In this paper, we first establish some existence theorems of systems of generalized vector equilibrium problems. From these
results, we obtain new variants of Ekeland’s variational principle in a Hausdorff t.v.s., a minimax theorem and minimization
theorems. Some applications to the existence theorem of systems of semi-infinite problem, a variant of flower petal theorem
and a generalization of Schauder’s fixed point theorem are also given. 相似文献
846.
讨论了一类二阶非线性微分方程多点共振边值问题,通过运用Mawhin连续定理,我们在一个较简单的条件下得到了问题的解的存在性结果. 相似文献
847.
This article discusses feasibility conditions in mathematical programs with equilibrium constraints (MPECs). The authors prove that two sufficient conditions guarantee the feasibility of these MPECs. The authors show that the two feasibility conditions are different from the feasibility condition in [2, 3], and show that the sufficient condition in [3] is stronger than that in [2]. 相似文献
848.
Mauricio Bogoya 《Journal of Mathematical Analysis and Applications》2008,344(2):601-615
We study the initial-value problem for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation, in the whole RN, N?1, or in a bounded smooth domain with Neumann or Dirichlet boundary conditions. First, we prove the existence, uniqueness and the validity of a comparison principle for solutions of these problems. In RN we show that if initial data is bounded and compactly supported, then the solutions is compactly supported for all positive time t, this implies the existence of a free boundary. Concerning the Neumann problem, we prove that the asymptotic behavior of the solutions as t→∞, they converge to the mean value of the initial data. For the Dirichlet problem we prove that the asymptotic behavior of the solutions as t→∞, they converge to zero. 相似文献
849.
This contribution is focused on an acceleration of branch and bound algorithms for the uncapacitated facility location problem. Our approach is based on the well-known Erlenkotters’ procedures and Körkels’ multi-ascent and multi-adjustment algorithms, which have proved to be the efficient tools for solving the large-sized instances of the uncapacitated facility location problem. These two original approaches were examined and a thorough analysis of their performance revealed how each particular procedure contributes to the computational time of the whole algorithms. These analyses helped us to focus our effort on the most frequent procedures. The unique contribution of this paper is a new dual ascent procedure. This procedure leads to considerable acceleration of the lower bound computation process and reduces the resulting computational time. To demonstrate more efficient performance of amended algorithms we present the results of extensive numerical experiments. 相似文献
850.