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References
R. A. Adams (1975), Sobolev Spaces, New York, Academic Press.
J. M. Ball (1982), Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Phil. Trans. Roy. Soc. A 306, 557–611.
J. M. Ball (1984), Differentiability properties of symmetric and isotropic functions, Duke Math. J. 50, 699–727.
J. M. Ball, J. C. Currie & P. J. Olver (1981), Null Lagrangians, weak continuity and variational problems of arbitrary order, J. Funct. Anal. 41, 135–174.
L. Cesari (1983), Optimization-theory and applications, Springer-Verlag, Berlin-Heidelberg-New York.
T. B. Cox & J. R. Low (1974), An investigation of the plastic fracture of AISI 4340 and 18 Nickel-200 Grade maraging steels, Mat. Trans. 5, 1457–1470.
A. E. Green (1973), On some general formulae in finite elastostatics, Arch. Rational Mech. Anal. 50, 73–80.
J. W. Hancock & M. J. Cowling (1977), The initiation of cleavage by ductile tearing, Fracture 1977, 2, ICF 4, Waterloo, Canada.
P. Hartman (1973), Ordinary differential equations, Wiley.
C. O. Horgan & R. Abeyaratne (1985), A bifurcation problem for a compressible nonlinearly elastic medium: growth of a microvoid, (to appear in J. of Elasticity).
R. J. Knops & C. A. Stuart (1984), Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity, Arch. Rational Mech. Anal. 86, 233–249.
C. A. Stuart (1985), Radially symmetric cavitation for hyperelastic materials, Ann. Inst. H. Poincaré, Anal. Non. Linéaire 2, 33–66.
C. Truesdell & W. Noll (1965), The non-linear field theories of mechanics, Handbuch der Physik III/3, Berlin, Heidelberg, New York, Springer.
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Sivaloganathan, J. Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity. Arch. Rational Mech. Anal. 96, 97–136 (1986). https://doi.org/10.1007/BF00251407
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DOI: https://doi.org/10.1007/BF00251407