Construct · 1 fields · 1 citations

mountain pass theorem: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
mountainpass theorem1 CONSTRUCTMountain pass theoremAMBROSETTI · CALCULUS OF

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Calculus of variations

a functional with mountain-ridge geometry that meets the Palais-Smale condition has a critical point at a saddle level.

In calculus of variations, mountain pass theorem refers to a functional with mountain-ridge geometry that meets the Palais-Smale condition has a critical point at a saddle level. This meaning comes from Ambrosetti (1973) in Journal of Functional Analysis.[1]

Unit
Recovery means
Measured by

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Nearby constructs

condition2 fields · 2 citationsjingle · one word, two constructscriticality3 fields · 4 citationsjingle · one word, three constructsfunctional analysis1 fields · 1 citationsanchor · a standalone construct

References

  1. Ambrosetti, A., & Rabinowitz, P. H. (1973). Dual variational methods in critical point theory and applications. Journal of Functional Analysis, 14(4), 349-381. https://doi.org/10.1016/0022-1236(73)90051-7

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