1,721,149 research outputs found

    On the mountain pass lemma

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    MathematicsSCI(E)2ARTICLE203-208119

    Free boundary problems and the set-valued mappings

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    http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1983RD96000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MathematicsSCI(E)39ARTICLE11-284

    On the Nash point equilibria in the calculus of variations

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    AbstractThe existence and partial regularity of the Nash point equilibria for a pair of multiple integrals J(u, v) = ∝Ω F(x, u, v, ▽u, ▽v) dx, K(u, v) = ∝Ω G(x, u, v, ▽u, ▽v) dx, are studied.The conditions as well as the results are similar to those for local minima obtained by Acerbi, Fusco and Giaquinta, Giusti

    Principal eigenvalue for weight matrix in elliptic systems

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    An extension of the Hess-Kato Theorem on elliptic systems was studied in the bounded open domain with smooth boundaries. Principal eigen values of the second order uniformly elliptic operator Dk with continuous coefficients were derived. The assumptions necessary for the existence of the operators were proved and a bifurcation point for positive solutions was obtained. An application of the abstract theorem was proved for bifurcation at infinity.Mathematics, AppliedMathematicsSCI(E)EI0ARTICLE3419-4334

    Topological properties of the solution set of a class of nonlinear evolutions inclusions

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    summary:In the paper we study the topological structure of the solution set of a class of nonlinear evolution inclusions. First we show that it is nonempty and compact in certain function spaces and that it depends in an upper semicontinuous way on the initial condition. Then by strengthening the hypothesis on the orientor field F(t,x)F(t,x), we are able to show that the solution set is in fact an RδR_\delta -set. Finally some applications to infinite dimensional control systems are also presented

    Integrating relevance feedback techniques for image retrieval using reinforcement learning

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    [[abstract]]Relevance feedback (RF) is an interactive process which refines the retrievals to a particular query by utilizing the user's feedback on previously retrieved results. Most researchers strive to develop new RF techniques and ignore the advantages of existing ones. In this paper, we propose an image relevance reinforcement learning (IRRL) model for integrating existing RF techniques in a content-based image retrieval system. Various integration schemes are presented and a long-term shared memory is used to exploit the retrieval experience from multiple users. Also, a concept digesting method is proposed to reduce the complexity of storage demand. The experimental results manifest that the integration of multiple RF approaches gives better retrieval performance than using one RF technique alone, and that the sharing of relevance knowledge between multiple query sessions significantly improves the performance. Further, the storage demand is significantly reduced by the concept digesting technique. This shows the scalability of the proposed model with the increasing-size of database.[[note]]SC
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