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Minimal Energy for a Free Ball on an Elastic Membrane

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Energy Methods in Continuum Mechanics
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Abstract

Let us denote by Ω a bounded domain of R 2 with smooth boundary Γ. Ω represents an elastic membrane spanned over a frame Γ.

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References

  1. Bandle, C. and Flucher, M. (1994) Harmonic radius and concentration of energy, hyperbolic radius and Liouville’s equation ∆u = e u and \(\Delta u = {{u}^{{\tfrac{{n + 2}}{{n - 2}}}}}\). Preprint.

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  2. Bemelmans, J. and Chipot, M. (1995) On a variational problem for an elastic membrane supporting a heavy ball. Calculus of Variations and PDE, (to appear).

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  3. Elliot, C. M. and Friedman, A. (1986) The contact set of a rigid body partially supported by a membrane. Nonlinear Analysis, 10, 251–276.

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© 1996 Kluwer Academic Publishers

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Bemelmans, J., Chipot, M. (1996). Minimal Energy for a Free Ball on an Elastic Membrane. In: Antontsev, S.N., Díaz, J.I., Shmarev, S.I. (eds) Energy Methods in Continuum Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0337-1_3

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  • DOI: https://doi.org/10.1007/978-94-009-0337-1_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6638-9

  • Online ISBN: 978-94-009-0337-1

  • eBook Packages: Springer Book Archive

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