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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 $S^3$ into $S^2$ with low Morse index

Journal of Differential Geometry, 2023
Tristan Riviere
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Prescribing integral curvature equation

Differential and Integral Equations, 2016
Meijun Zhu
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On Riesz Means of Eigenvalues

Communications in Partial Differential Equations, 2011
Evans Harrell, Lotfi Hermi
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A note on Yamabe-type equations on the Heisenberg group

Hiroshima Mathematical Journal, 2000
Francesco Uguzzoni
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