References
Antman, S.S., Existence and nonuniqueness of axisymmetric equilibrium states of nonlinearly elastic shells. Arch. Rational Mech. Anal. 40, 329–371 (1971).
Antman, S.S., Ordinary differential equations of nonlinear elasticity. Arch. Rational Mech. Anal. 61, 307–393 (1976).
Antman, S.S., A family of semi-inverse problems of nonlinear elasticity, Contemporary Developments in Continuum Mechanics and Partial Differential Equations. Amsterdam: North Holland 1978, 1–24.
Antman, S.S., & H. Brezis, The existence of orientation-preserving deformations in nonlinear elasticity, Nonlinear Analysis and Mechanics, vol. 2, edited by R.J. Knops. London: Pitman 1978, 1–29.
Brezis, H., Équations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann. Inst. Fourier, 18, 115–175 (1968).
Green, A.E., & J.E. Adkins, Large elastic deformations. Oxford: Clarendon Press 1960.
Lions, J.-L., Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris: Dunod 1969.
Truesdell, C., Some challenges offered to analysis by rational thermodynamics, Contemporary Developments in Continuum Mechanics and Partial Differential Equations. Amsterdam: North Holland 1978, 495–603.
Truesdell, C., & W. Noll, The nonlinear field theories of mechanics, Handbuch der Physik, Vol. III/3. Berlin-Heidelberg-New York: Springer 1965.
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This paper is dedicated to Clifford Truesdell on the occasion of his sixtieth birthday
The research reported here was supported by National Science Foundation Grant MCS 77-03760.
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Antman, S.S. The eversion of thick spherical shells. Arch. Rational Mech. Anal. 70, 113–123 (1979). https://doi.org/10.1007/BF00250348
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DOI: https://doi.org/10.1007/BF00250348