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Stability and critical dimension for Kirchhoff systems in closed manifolds

open access: yesAdvanced Nonlinear Studies
The Kirchhoff equation was proposed in 1883 by Kirchhoff [Vorlesungen über Mechanik, Leipzig, Teubner, 1883] as an extension of the classical D’Alembert’s wave equation for the vibration of elastic strings. Almost one century later, Jacques Louis Lions [“
Hebey Emmanuel
doaj   +1 more source

ON A NONLINEAR PARTIAL DIFFERENTIAL ALGEBRAIC SYSTEM ARISING IN TECHNICAL TEXTILE INDUSTRY: ANALYSIS AND NUMERICS

open access: yes, 2016
. In this paper a length-conserving numerical scheme for a nonlinear fourth order sys-tem of partial differential algebraic equations arising in technical textile industry is studied.
Nicole Marheineke, Martin Grothaus
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Harmonic Maps From S³ Into S² With Low Morse Index

Journal of Differential Geometry, 2023
Tristan Rivière
exaly  

A Note on Yamabe-Type Equations on the Heisenberg Group

Hiroshima Mathematical Journal, 2000
Francesco Uguzzoni
exaly  

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