Titlebook: Nonlinear Functional Analysis and its Applications; III: Variational Met Eberhard Zeidler Textbook 1985 Springer Science+Business Media New

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书目名称Nonlinear Functional Analysis and its Applications影响因子(影响力)




书目名称Nonlinear Functional Analysis and its Applications影响因子(影响力)学科排名




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书目名称Nonlinear Functional Analysis and its Applications被引频次学科排名




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Malleable

喧闹

Convexity and Extremal Principles strategy for obtaining existence propositions consists in considering convexity instead of compactness. Figure 39.1 shows the logical connections. We place the Hahn-Banach theorem at the pinnacle; in the final analysis this theorem goes back to the central fixed point theorem of Bourbaki and Kneser

起来了

煞费苦心

Lagrange Multipliers and Eigenvalue Problemsconditions. Moreover, we will interpret this condition geometrically and explain the connection with manifolds in B-spaces. In this connection, a generalization of the implicit function theorem is the focal point (Theorem 43.C). The central concepts are:

热心

Ljusternik-Schnirelman Theory and the Existence of Several Eigenvectorseral eigenvectors for (1) within the generalized context of the Courant maximum-minimum principle. In this connection, in an essential way, we use the fact that . and . are odd potential operators, i.e., . = ., . = ., and .(− .) = − .(.), .(−.) = − .(.) for all . ∈ .. We have already explained the b

BILL

Connotation

otential inf inite--like the elimination of the infinitely small from nineteenth century accounts of limits and continuity--gave us everything that was important in a theory of the infinite. Hilbert‘s paper showed me that this was not obviously so. Suddenly other certainties about Aristotle‘s (appar

环形

REIGN

Eberhard Zeidlerotential inf inite--like the elimination of the infinitely small from nineteenth century accounts of limits and continuity--gave us everything that was important in a theory of the infinite. Hilbert‘s paper showed me that this was not obviously so. Suddenly other certainties about Aristotle‘s (appar